Symplectic cohomology of compound Du Val singularities

Autor:	Evans, Jonathan David, Lekili, Yanki
Rok vydání:	2021
Předmět:	Mathematics - Symplectic Geometry Mathematics - Algebraic Geometry Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	We compute symplectic cohomology for Milnor fibres of certain compound Du Val singularities that admit small resolution by using homological mirror symmetry. Our computations suggest a new conjecture that the existence of a small resolution has strong implications for the symplectic cohomology and conversely. We also use our computations to give a contact invariant of the link of the singularities and thereby distinguish many contact structures on connected sums of $S^2 \times S^3$. Comment: 41 pages; v3 incorporated referees' comments. Accepted for publication in Annales Henri Lebesgue
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2104.11713 Zobrazit plný text záznamu View this record from Arxiv