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arXiv · 2104.11713

Symplectic cohomology of compound Du Val singularities

Jonathan David Evans·Yanki Lekili
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Abstract

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 $S^2 \times S^3$.

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Jonathan David Evans, Yanki Lekili. 2021-04-23. Symplectic cohomology of compound Du Val singularities. https://arxiv.org/abs/2104.11713

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