Monday November 25th, 2024 | |
| Time: | 12:30 PM - 1:55 PM |
| Title: | Is the geography of Heegaard Floer homology restricted or is the L-space conjecture false? |
| Speaker: | Antonio Alfieri, Stony Brook University |
| Location: | Math P-131 |
| Abstract: | |
| In a recent note Francesco Lin showed that if a rational homology sphere Y admits a taut foliation then the Heegaard Floer module HF^-(Y) contains a copy of F[U]/U as a summand. This implies that either the L-space conjecture is false or that Heegaard Floer homology satisfies a geography restriction. In a recent paper in collaboration with Fraser Binns we verified that Lin's geography restriction holds for a wide class of rational homology spheres. I shall discuss our argument, and advance the hypothesis that the Heegaard Floer module HF^-(Y) may satisfy a stronger geography restriction than the one suggested by Lin’s theorem. | |