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Symplectic cohomology of compound Du Val singularities

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Symplectic cohomology of compound Du Val singularities. / Evans, Jonny; Lekili, YankI.
In: Annales Henri Lebesgue, 05.06.2022.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Evans, J & Lekili, Y 2022, 'Symplectic cohomology of compound Du Val singularities', Annales Henri Lebesgue.

APA

Evans, J., & Lekili, Y. (in press). Symplectic cohomology of compound Du Val singularities. Annales Henri Lebesgue.

Vancouver

Evans J, Lekili Y. Symplectic cohomology of compound Du Val singularities. Annales Henri Lebesgue. 2022 Jun 5.

Author

Evans, Jonny ; Lekili, YankI. / Symplectic cohomology of compound Du Val singularities. In: Annales Henri Lebesgue. 2022.

Bibtex

@article{5fadb45b925d4b49a9c5bc12bceacd58,
title = "Symplectic cohomology of compound Du Val singularities",
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.",
author = "Jonny Evans and YankI Lekili",
year = "2022",
month = jun,
day = "5",
language = "English",
journal = "Annales Henri Lebesgue",
issn = "2644-9463",
publisher = "{\'E}cole normale sup{\'e}rieure de Rennes",

}

RIS

TY - JOUR

T1 - Symplectic cohomology of compound Du Val singularities

AU - Evans, Jonny

AU - Lekili, YankI

PY - 2022/6/5

Y1 - 2022/6/5

N2 - 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.

AB - 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.

M3 - Journal article

JO - Annales Henri Lebesgue

JF - Annales Henri Lebesgue

SN - 2644-9463

ER -