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Symplectic cohomology of compound Du Val singularities

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Forthcoming
<mark>Journal publication date</mark>5/06/2022
<mark>Journal</mark>Annales Henri Lebesgue
Number of pages41
Publication StatusAccepted/In press
<mark>Original language</mark>English

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×S^3.