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Symplectic cohomology of compound Du Val singularities

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Symplectic cohomology of compound Du Val singularities. / Evans, Jonny; Lekili, YankI.
In: Annales Henri Lebesgue, Vol. 6, 31.12.2023, p. 727-765.

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

Harvard

Evans, J & Lekili, Y 2023, 'Symplectic cohomology of compound Du Val singularities', Annales Henri Lebesgue, vol. 6, pp. 727-765. https://doi.org/10.5802/ahl.177

APA

Evans, J., & Lekili, Y. (2023). Symplectic cohomology of compound Du Val singularities. Annales Henri Lebesgue, 6, 727-765. https://doi.org/10.5802/ahl.177

Vancouver

Evans J, Lekili Y. Symplectic cohomology of compound Du Val singularities. Annales Henri Lebesgue. 2023 Dec 31;6:727-765. doi: 10.5802/ahl.177

Author

Evans, Jonny ; Lekili, YankI. / Symplectic cohomology of compound Du Val singularities. In: Annales Henri Lebesgue. 2023 ; Vol. 6. pp. 727-765.

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 = "2023",
month = dec,
day = "31",
doi = "10.5802/ahl.177",
language = "English",
volume = "6",
pages = "727--765",
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 - 2023/12/31

Y1 - 2023/12/31

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.

U2 - 10.5802/ahl.177

DO - 10.5802/ahl.177

M3 - Journal article

VL - 6

SP - 727

EP - 765

JO - Annales Henri Lebesgue

JF - Annales Henri Lebesgue

SN - 2644-9463

ER -