Dennis Sullivan Publications

Subject	Papers
Homotopy Theory	14, 17, 18, 20, 24, 35, 39, 50, 117, 122, 123
Manifold Classification (smooth, PL, topological)	5, 1, 2, 3, 4, 6, 8, 9, 11, 12, 13, 14, 16, 17, 19, 20, 24, 63, 105, 117, 121
Singularities	7, 10, 116
Homology Theory	23, 24, 25, 30, 35, 116, 123, 132
Dynamical Systems	15, 16, 18, 21, 23, 30, 32, 36, 45, 52, 55, 56, 57, 58, 64, 67, 72, 73, 77, 86, 98, 103
Geometry of Manifolds, Flat bundles	25, 26, 28, 29, 31, 33, 41, 56, 60, 66
Differential Geometry	27, 28, 39, 40, 62, 66, 76, 78, 82, 83, 84, 85, 87
Kleinian Groups	44, 45, 48, 49, 53, 54, 55, 56, 65, 78
Foliations of Manifolds	33, 36, 38, 40, 43, 51
Sobolev Manifolds (bilipschitz and quasiconformal)	41, 42, 63, 88, 96, 99, 101, 110, 113
Holomorphic Dynamics	56, 57, 58, 64, 70, 71, 73, 74, 80, 89, 92, 94, 97, 100, 106, 109
Logic	47, 61
One Dimensional Dynamics and Analysis	89, 90, 91, 92, 93, 94, 95, 97, 102, 107, 112, 119
Probability and Brownian Motion	66, 68, 75
Optimal Control	69
Circle Packings	81
String Topology	111, 114, 115, 118, 120, 124, 125
Differential Cohomology	123, 126
Homotopical Algebra	39, 127, 129, 136
Fluids	128, 131, 135

[ 1] Triangulating Homotopy Equivalences . Ph.D. Thesis, Princeton. (1966) 187 pages. (See [105]).
[ 2] Triangulating Homotopy Equivalences . Preprint, Univ. of Warwick (1967), 10 pages.
[ 3] Smoothing homotopy Equivalences . Preprint Univ. of Warwick (1967), 12 pages.
[ 4] On the Hauptvermutung for Manifolds . Bull. Amer. Math. Soc. 73 (1967), 598-600.
[ 5] On the Regular Neighborhood of a two-sided submanifold (with M. Cohen). Topology 9 (1970), 141-147.
[ 6] Geometric Topology I. Localization, Periodicity & Galois Symmetry . MIT 1970, Mimeogr. Notes, 432 pages. (See [20] and [117]).
[ 7] Combinatorial Invariants of Analytic Spaces . Proc. Liverpool Singularity Symposium, I (1969/70), 165-168, Lecture Notes in Math. 192 Springer, Berlin, 1971.
[ 8] Geometric Periodicity & the Invariants of Manifolds . Manifolds- Amsterdam 1970, 44-75, Lecture Notes in Math. 197 Springer, Berlin, 1971.
[ 9] Galois Symmetry in Manifold Theory at the Primes . Actes du Congres International des Mathematiciens (Nice, 1970), Tome 2, pp.169-175. Gauthier-Villars, Paris 1971. (See [117]).
[ 10] Singularities in Spaces . Proc. of Liverpool Singularities Symposium II, 196-206, Lecture Notes in Math. 209 Springer, Berlin, 1971.
[ 11] On the Kervaire Obstruction (with C. Rourke). Ann. of Math.(2) 94 (1971), 397-413.

[ 12]

The Signature, Geometric cycles, and K-theory . Manuscript 1973/74. (See P. Seigel, Witt spaces: a geometric cycle theory for K_0 homology at odd primes. Amer. J. Math. 105 (1983), 1067-1105).

[ 13] The Transversality Characteristic Classes and Linking Classes in Surgery Theory (with J. Morgan). Ann. of Math.(2) 99 (1974), 463-544.
[ 14] Genetics of Homotopy Theory and the Adams Conjecture . Ann. of Math.(2) 100 (1974), 1-79.
[ 15] A Remark on the Lefschetz fixed point formula for differential Maps (with M. Shub). Topology 13 (1974), 189-191.
[ 16] Inside and Outside Manifolds . Proceedings of the International Congress of Mathematicians. (Vancouver. B.C., 1974 Vol.1, pp. 201-207. Canad. Math. Congress, Montreal, 1975).
[ 17] Differential Forms and the Topology of Manifolds . Manifolds-Tokyo 1973 (Proc. International Conf. Tokyo, 1973), pp. 37-49. Univ. Tokyo Press, Tokyo 1975.
[ 18] Homology Theory and Dynamical Systems (with M. Shub). Topology 14 (1975), 109-132.
[ 19] On the Intersection Ring of Compact Three Manifolds . Topology 14 (1975), 275-277.
[ 20] Geometric Topology, Localization, Periodicity & Galois Symmetry . Paru dans biblioteka cirica { Matematika}. ((Version russe, 1975)).

[ 21]

Genericity theorems in topological dynamics (with J. Palis, C.Pugh, M. Shub). Dynamical Systems, Univ. Warwick, Coventry, 1973/ 1974, Lect. Notes in Math., 241-250, Lecutre Notes in Math. 468, Springer, Berlin, 1975.

[ 22] A Topological Invariant of Flows on 1-Dimensional Spaces (with B. Parry). Topology 14 (1975), 297-299.
[ 23] Currents, flows and diffeomorphisms (with D. Ruelle). Topology 14 (1975), 319-327.

[ 24]

Real Homotopy Theory of Kahler Manifolds (with P. Deligne, P. Griffiths, J. Morgan). Invent. Math. 29 No. 3 (1975), 245-274. (See also Seminaire Bourbaki, Vol. 1975/76, Exp. No. 475, 69-80. Lecture notes in Math., 567, Springer, Berlin, 1977).

[ 25] The Euler Characteristic of an affine space form is zero (with B. Kostant). Bull. AMS 81, (1975), 937-938.
[ 26] La Classe d'Euler Reele d'un Fibre Vectoriel a Groupe Structural . C.R. Acad. Sciences. Paris A.B. 281 (1975) no. 1, Aii, 17-18.
[ 27] Geometrie differentielle, Sur l'existence d'un infinite de geodesiques periodiques sur une variete Riemannienne compacte . C.R. Acad. Sci. Pari Ser. A-B, 281 (1975), A289-A291.
[ 28] Complex Vector Bundles with Discrete Structure Group (with P. Deligne). C.R. Acad. Sci. Paris. A-B, 281 (1975), A289-A291. Fibres Vectoriels Complexes a Group Structural Discret..
[ 29] A Semi-Local Combinatorial Formula for the Signature of a 4k-Manifold (with A. Ranicki). Journal of Diff. Geometry 11 (1976), 23-29.
[ 30] On the Homology of Attractors (with R. F. Williams). Topology 15 (1976), 259-262.
[ 31] A Generalization of Milnor's Inequalities Concerning Affine Foliations and Affine Manifolds . Comment. Math. Helv. 51 (1976), 183-189.
[ 32] A counterexample to the periodic orbit conjecture . Publ. Math. IHES 46 (1976), 5-14.
[ 33] Cycles for the dynamical study of foliated manifolds and complex manifolds . Invent. Math. 36 (1976), 225-255.
[ 34] The homology theory of the closed geodesic problem (with M. Vigue-Poirrier). Journal of Diff. Geometry 11 (1976), 633-644.
[ 35] Cartan-de Rham homotopy theory . Colloque “Analyse et Topologie” en l'honneur de Henri Cartan. (Orsay 1974), Asterisque no. 32-33 (1976), 227-254.
[ 36] A new flow . Bull. Amer. Math. Soc. 82 (1976), 331-332.
[ 37] A counterexample to the periodic orbit conjecture . Publications Mathématiques de l'IHÉS, Volume 46 (1976) , p. 5-14.
[ 38] Foliations with all leaves compact (with R. Edwards, K. Millett). Topology 16 (1977), 13-32.
[ 39] Infinitesimal computations in topology . Publ. Math. IHES 47 (1977), 269-331.
[ 40] A foliation of geodesics is characterized by having no "tangent homologies" . Journal of Pure and Applied Algebra 13 (1978), 101-104, North Holland Publ. Co.
[ 41] On complexes that are lipshitz manifolds (with L. Siebenmann). Proc. of Georgia Topology Conference (1977) Academic Press New York-London (1979), 503-525.
[ 42] Hyperbolic geometry and homeomorphisms . (Proceedings of Georgia Topology, Conference 1977) Academic Press New York-London (1979), 543-555.
[ 43] A homological characterization of foliations consisting of minimal surfaces . Commentari Math. Helvetici 54 (1979), 218-223.
[ 44] On the density at infinity of a discrete group of hyperbolic motions . Publications Mathematiques IHES, 50 (1979), 171-209.
[ 45] Rufus Bowen (1947-1978) . Inst. Hautes Etudes Sci. Publ. Math. 50 (1979), 7-9.
[ 46] Travaux de Thurston sur les Groupes Quasi-Fuchsiens et les Varietes Hyperboliques de Dimension 3 Firbrees sur $S^1$ . {Seminaire Bourbaki} 1979/80 no. 554.
[ 47] For $n>3$, there is only One Finitely Additive Measure on $S^n$ Rotationally Invariant and defined on all Lebesgue Measurable Sets . {Bull. of AMS} (4) 1981 No. 1 pp. 121-123.
[ 48] A Finiteness Theorem for Cusps . {Acta Math.} 147 (1981), 289-299.

[ 49]

Growth of Positive Harmonic Functions and Kleinian Group Limit Sets of Zero Planar Measure and Hausdorff Dimension Two . N. H. Kuiper volume, {Springer Lecture Notes in Math}. 894 (1981)127-144.

[ 50] Zariski Dynamics of a Homotopy Type (with R. Body). Manuscript 1978. (See [109]).
[ 51] Geometry of Leaves (with A. Phillips). Topology 20 (1980), no. 209-218.
[ 52] On Lifting Automorphisms of monotone Σ-complete C*-Algebras (with J. D. Matiland Wright). { The Quarterly Journal of Math.} Clarendon Press, Oxford, 32, No. 127 (1981).

[ 53]

On the Ergodic Theory at Infinity of an Arbritrary Discrete Group of Hyperbolic Motions . Princeton Univ. Press, Proceedings of the 1978 Stony Brook Conference on Kleinian Groups, June 1978.

[ 54] Disjoint Spheres, Diophantine approximations, and the Logarithm Law for Geodesics . {Acta Math.} 149 (1982), 215-237.

[ 55]

Discrete conformal groups and measurable dynamics . {Proc. Of Poincare Symposium} (#39 of PSPM) 1983, part 1, 169., Bloomington, Indiana. Reprinted from {Bull. AMS} (W.S.) 6 (1982), 57-73.

[ 56] Seminar on conformal and hyperbolic geometry, notes by M. Baker and J. Seade . Preprint IHES, 1982, 92 pp.
[ 57] Iteration des fonctions analytiques complexes. (French) [Iteration of complex analytic functions] . C.R. Acad. Sci. Paris Ser. I Math 294 (1982), no. 9, 301-303.
[ 58] On the Dynamics of Rational Maps (with R. Mane, P. Sad). {Ann.Scient. Ec. Norm. Sup.} (4) serie 16 (1983), 193-217.

[ 59]

Conformal Dynamical Systems . Proc. of International Systems Conference, Rio de Janeiro, IMPA, 1981. {Springer Verlag Lec. Notes in Math}. 1007 (1983), “Geometric Dynamics”, pp 725-752.

[ 60] Manifolds with canonical coordinates charts: some examples (with W. Thurston). L'Enseignment Mathematique (2) 229 (1983) no. 1-2 pp. 15-25.
[ 61] Division algebras and the Hausdorff-Banach-Tarski Paradox (with P. Deligne). Enseignement Mathematique. t.29 (1983), 145-150.
[ 62] The Dirichlet Problem at infinity for a negatively curved manifold . Journal of Diff. Geometry, 18 (1983), 723-732.
[ 63] An analytic proof of Novikov's theorem on rational Pontrjagin classes (with N. Teleman). Publ. Math. IHES no. 58 (1983), 79-81.
[ 64] On the iteration of a rational function: computer experiments with Newton's method (with J. H. Curry, L. Garnett). {Communications and Math. Physics}, 91 (1983), 267-277.
[ 65] Etropy, Hausdorff Measures old and new, and limit sets of geometryically finite groups . Acta Math.153 (1984), 259-277.
[ 66] Function theory, random paths and covering spaces (with T. Lyons). J. Diff. Geometry 19 (1984), 299-323.
[ 67] Rational ergodicity of geodesic flows (with J. Aaronson). Ergodic Theory and Dynamical Systems 4 (1984) 165-178.
[ 68] Brownian motion and harmonic functions on the class surface of thrice punctured sphere (with H. McKean). Advances in Mathematics, 51, no. 3 (1984), 203-211.
[ 69] Nilpotent bases for distributions and control systems (with H. Hermes, A. Lundell). Journal of Diff. Equations 55 no. 3 (1984), 385-400.
[ 70] Quasiconformal homeomorphisms and dynamics I. Solution of the Fatou-Julia problem on wandering domains . Annals of Mathematics, 122 (1985), 401-418.
[ 71] Quasiconformal homeomorphisms and dynamics II. Structural Stability Implies Hyperbolocity for Kleinian Groups . {Acta Mathematica} 155 (1985), 243-260.
[ 72] Expanding endomorphisms of the circle revisited (with M. Shub). Ergodic Theory and Dynamical Systems 5 (1985), 285-289.
[ 73] On the measurable dynamics of the exponential map (with E. Ghys, L. Goldberg). Ergodic Theory Dynam. Systems 5 (1985), no. 3, 329-335.
[ 74] On the dynamical structure near an isolated completely unstable elliptic fixed point . Atas do 14 Coloquio Brasileiro de Matematica, vol. II, Publ. do IMPA, 1985, 529-542.

[ 75]

A relation between probability, geometry and dynamics-the random path of the heat equation on a Riemannian manifold . Atas do 14 Coloquio Brasileiro de Matematica, vol. II, Publ. do IMPA, 1985, 553-559.

[ 76]

Related aspects of positivity: λ-Potential theory on manifolds lowest eigenstates, Hausdorff geometry, renormalized Markov processes . Aspects of Mathematics and its Applications, North-Holland Mathematical Library, 34 (1986).

[ 77] Generic dynamics and monotone complete C*-algebras (with B. Weiss, J. Wright). {Trans. of the AMS} 295, (1986), 795-809.
[ 78] Ground state and lowest eigenvalue of the Laplacian for non-compact hyperbolic surfaces (with T. Pignataro). C.M.P. 104 (1986), 529-535.
[ 79] Quasiconformal homeomorphisms in dynamics, topology, and geometry . {Proceedings of the International Congress of Mathematicians}, Berkeley, CA., Vol. 2, (1986), 1216-1228.
[ 80] Extending holomorphic motions (with W. Thurston). Acta Math.157 (1986), 243-257.
[ 81] The convergence of circle packings to the Riemann mapping (with B. Rodin). {J. of Diff. Geometry}, 26, no. 3 (1987), 349-360.
[ 82] Related aspects of positivity in Riemannian geometry . {J. of Diff. Geo.} 25 (1987), 327-351.
[ 83] Estimating small eigenvalue of Riemann Surfaces (with J. Dodziuk, T. Pignataro, B. Randol). {Contemporary Mathematics}, Vol 64, 1987, 93-121.
[ 84] The spinor representation of minimal surfaces in space . Preprint Texas 1986 (a letter to H. Rosenberg).
[ 85] On negative curvature, variable, pinched and constant . Preprint Texas 1986. (See [79]).
[ 86] Differentiable structures on fractal like Sets, determined by intrinsic scaling functions on dual Cantor Sets . {Proceedings of Symposia in Pure Mathematics}, 48 (1988), 15-23.
[ 87] Variation of the Green Function on Reimann surfaces and Whitney's holomorphic stratification conjecture (with R. Hardt). Inst. Hautes Etudes Sci. Publ. Math. No. 68 (1988), 115-137.
[ 88] Quasiconformal 4-manifolds (with S. K. Donaldson). {Acta Mathematica}, 163, 1989, 181-252.

[ 89]

Bounded structure of infinitely renormalizable mappings. (The Quasiconformal Explanation of the Universal Constants in One Dimensional Dynamical Bifurcations) . Cvitanovi$\`c$, {Universality of Chaos}, 2nd Edition, Adam Hilger, Bristol, England, 1989. (See [92]).

[ 90] On conformal welding homeomorphisms associated to Jordan Curves (with Y. Katznelson, S. Nag). { Annales Academiae Scientiarum Fennicae}, Series A. I. Mathematica, 15}, 1990, 293-306.
[ 91] Renormalization, Zygmund smoothness and the Epstein class. Chaos, order & patterns . (Lake Como, 1990), 25-34, Nato Adv. Sci. Inst. Ser. B Phys., 280, Plenum, New York, 1991.

[ 92]

Bounds, quadratic differentials and renormalization conjectures . {AMS Centennial Publications}, II. “Mathematics into the 21st Century.” (1988 Centennial Symposium, Aug. 8-12), American Mathematical Society, Providence, R. I., 1992, 417-466.

[ 93] Quantized calculus on the circle and quasi Fuchsian Groups (with A. Connes). Preprint IHES, 1994.
[ 94] Expanding directions of period doubling operator (with Yunping Jiang, T. Morita). {Comm. of Math. Physics} 144, 1992, 509-520.
[ 95] Symmetric structures on a closed curve (with F. Gardiner). Amer. J. Math. 114 (1992), 683-736.

[ 96]

Formules locales pour les classes de Pontrajagin topologiques (French) [Local formulas for topological Pontryagin classes] (with A. Connes, N. Teleman). C.R. Acad. Sci. Paris Ser. I Math. 317 (1993), no. 5, 521-526.

[ 97]

Linking the universalities of Milnor-Thurston, Feigenbaum and Ahlfors-Bers . {Topological Methods in Modern Mathematics}. The Proceedings of Symposium held in honor of John Milnor's 60th Birthday, SUNY at Stony Brook, June 14-21, 1991. Publisher Perish, Inc.

[ 98] Infinite cascades of braids and smooth dynamical systems (with Jean-Marc Gambaudo, C. Tresser). {Topology}, 33, No. 1, (1994) 85-94.
[ 99] Quasiconformal mappings, operators on Hilbert space and local formulae for characteristic classes (with A. Connes, N. Teleman). {Topology}, 33(1994), No. 4, pp. 663-681.
[100] Lacunary series aas quadratic differentials in conformal dynamics (with F. Gardiner). {Contemporary Mathematics}, (AMS Series), 169, (1994) 307-330.

[101]

Exterior d, the local degree and smoothability . Proceedings of a Conference in honor of William Browder, 1995 {Annals of Math Studies}, Vol. 138, Princeton University Press. Pp. 328-338.

[102] Teichmuller theory and the universal period mapping via quantum calculus and the H (1/2) space on the circle (with S. Nag). Osaka Journal of Mathematics,(1995) 32, no. 1 pp.1-34.
[103] Wandering domains and invariant conformal structures for mappings of the 2-Torus (with A. Norton). Ann. Acad. Sci. Fenn. Math. 21 (1996), no. 1, 51-68.
[104] Determinant bundles, Quillen metrics and Mumford isomorphisms over the universal commensurability Teichmuller space (with I. Biswas, S. Nag). Acta Math. 176 (1996), no. 2, 145-169.

[105]

Triangulating and smoothing homotopy equivalences and homeomorphisms. Geometric Topology Seminar Notes . The Hauptvermutung book, 69-103, K-Monogr. Math., 1, Kluwer Acad. Publ., Dordrecht, 1996.

[106] Dynamics of geometrically finite rational maps (with G. Cui, Y. Jiang). Manuscript 1996.
[107] Topological conjugacy of circle diffeomorphisms (with J. Hu). Ergodic Theory Dynam. Systems 17 (1997), 173-186.
[108] Quasiconformal homeomorphisms and dynmaics III. The Teichmuller space of a holomorphic dynamical system (with C. McMullen). Adv. Math. 135 (1998), no. 2, 351-395.
[109] P-universal spaces and rational homotopy types (with R. Body, M. Mumura, H. Shiga). Comment. Math. Helv. 73 (1998), no. 3, 427-442.

[110]

On the foundation of geometry, analysis and the differential structure for manifolds. Topics in lowdimensional topology, In Honor of Steve Armentrout . Proceedings of the Conference on low-Dimensional Topology (The Pennsylvania State University) Editors: A. Banyaga, H. Movahedi-Lankarani & R. Wells., 89-92, World Sci. Publishing, River Edge, NJ, 1999.

[111] String topology (with M. Chas). Math.GT/9911159, 29 pages, 8 figures. Subj-class: Geometric Topology; Quantum Algebra. To appear in Annals of Mathematics (2001).
[112] Reminiscences of Michel Herman's first great theorem . In "Michael R. Herman" Gazette des Mathematiciens No. 8 (2001). Societe Mathematique de France, Paris, 2001, 91-94.
[113] On the locally branched Euclidean metric gauge (with J. Heinonen). Duke Math. J. 114 (2002), 15-41.

[114]

Closed string operators in Topology leading to Lie Bialgebras and higher string algebra (with M. Chas). Proceedings of the Abel Bicentenniel Symposia, Oslo Norway 2002. arXiv GT/0212358.

[115]

Open and closed string field theory interpreted in classical algebraic topology . Proceedings of Oxford Symposium for Graeme Segal "Geometry, Topology, and Quantum Field Theory", 2003, ed. U. Tillman, Cambridge University Press, 2004, 344-357. arXiv QA/0302332.

[116] Rene Thom's work on geometric homology and bordism . Bull. Amer. Math. Soc. (N.S.) 41 (2004), 341-350.
[117] Geometric topology, Part I: Localization, periodicity, and Galois symmetry . K-Monographs in Math, Kluwer Academic Publishers, Dordrecht, 2004.
[118] Higher genus string topology (with M. Chas). Manuscript 2004.
[119] Dynamical systems applied to asymptotic geometry (with A. Pinto). IMS at Stony Brook University, Preprint No. 6, 2004.
[120] Σ-models and string topology . Proceedings of Symposia in Pure Mathematics, Vol. 73, 2005.
[121] Geometric topology: Localization, periodicity and Galois symmetry . The 1970 MIT Notes of Dennis Sullivan, edited by Andrew Ranicki. K-Monographs in Mathematics, Vol. 8, Springer (2005).
[122] A free differential lie algebra associated to the unit interval (with R. Lawrence). (math.AT/0610949) Submitted to The Journal of Topology and Geometry, 2007.
[123] Axiomatic characterization of ordinary differential cohomology (with J. Simons). (math.AT/0701077). Submitted to The Journal of Topology, 2007.
[124] The homotopy invariance of the string topology loop product and string bracket (with R. L. Cohen, J. Klein). (arXiv math.GT/0509667.) Submitted to The Journal of Topology, 2007.
[125] String topology: background and present state . (arXiv math.GT/0710.4141). To appear in Current Developments in Mathematics Conference 2005 Proceedings.
[126] Structured vector bundles define differential K-theory (with J. Simons). (arXiv math.AT/0810.4935).
[127] Homotopy theory of the master equation package applied to the algebra and geometry: a sketch of two interlocking programs . (arXiv math.QA/0803.588).
[128] Algebra, Topology and algebraic topology of 3D ideal fluids . (arXiv math.AT/1010.2721).
[129] The Mayer-Vietoris Property in Differential cohomology (with J. Simons). (arXiv math.DG/1010.3300).
[130] The Mayer-Vietoris Property in Differential cohomology (with J. Simons). (arXiv math.AT/1010.5269).
[131] A finite time blownup result for quadratic ODE's . Peixoto Birthday Volume (arXiv math.AT/1011.0422).
[132] Structure of k-cycles on a k-dimensional space (with N. Ranade, C. Sadanand). (arXiv math.AT/1203.5288).
[133] Transverse string topology and the cord algebra (with S. Basu, J. McGibbon, M. Sullivan). (arXiv math.GT/1210.5722).
[134] The cumulant bijection and differential forms (with N. Ranade). (arXiv math.AT/1407.0422).

[135]

3D incompressible fluids: Combinatorial models, Eigenspace models, and a conjecture about well-posedness of the 3D zero viscosity limit . J. Differential Geom. Volume 97, Number 1 (2014), 141-148.

[136] A formula for topology/deformations and its significance (with R. Lawrence). Fund. Math. 225 (2014), 229-242.
[137] Generalized Euler classes, differential forms and commutative DGAs (with A. Gorokhovsky, Z. Xie). Journal of Topology and Analysis (2019).
[138] Lattice Hydrodynamics . Yoccoz Memorial Volume; Asteriques 415; 2020 (arXiv math.AP/1811.00086).

[139]

Quantitative towers in finite difference calculus approximating the continuum (with R. Lawrence, N. Ranade). Atiyah Memorial Volume; Quarterly Journal of Mathematics, 72 (1-2) (2021) 515-545.

[140] Numerical Comparison of Momentum Model and Vorticity Model (with A. Kwon, P. Rao, D. An).
[141] Rochlin's Theorem, a Problem and a Conjecture (with D. Sullivan).
[142] Characters for Complex Bundles and their Connections (with J. Simons, D. Sullivan). (arXiv math.KT/1803.07129).
[143] Differential Characters for the K-theory (with J. Simons, D. Sullivan).
[144] A Stratified Rational Homology Manifold Version of the Atiyah-Bott Fixed Point Theorem (with D. Sullivan).
[145] Infinity structure of Poincar ge duality spaces (with D. Sullivan, T. Tradler, M. Zeinalian). Algebr Geom. Topol. 7 (2007), p. 233-260.
[146] Complement to the Thurston 3-D geometrization picture (with D. Sullivan, A. Kwon). (arXiv: 1906.10820).