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Floer cohomology of the Chiang Lagrangian

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Floer cohomology of the Chiang Lagrangian. / Evans, Jonathan David; Lekili, YankI.
In: Selecta Mathematica, Vol. 21, No. 4, 10.2015, p. 1361–1404.

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

Harvard

Evans, JD & Lekili, Y 2015, 'Floer cohomology of the Chiang Lagrangian', Selecta Mathematica, vol. 21, no. 4, pp. 1361–1404. https://doi.org/10.1007/s00029-014-0171-9

APA

Evans, J. D., & Lekili, Y. (2015). Floer cohomology of the Chiang Lagrangian. Selecta Mathematica, 21(4), 1361–1404. https://doi.org/10.1007/s00029-014-0171-9

Vancouver

Evans JD, Lekili Y. Floer cohomology of the Chiang Lagrangian. Selecta Mathematica. 2015 Oct;21(4):1361–1404. doi: 10.1007/s00029-014-0171-9

Author

Evans, Jonathan David ; Lekili, YankI. / Floer cohomology of the Chiang Lagrangian. In: Selecta Mathematica. 2015 ; Vol. 21, No. 4. pp. 1361–1404.

Bibtex

@article{5eaf46bc11764102849cefe78f590ce9,
title = "Floer cohomology of the Chiang Lagrangian",
abstract = "We study holomorphic discs with boundary on a Lagrangian submanifold L in a Kaehler manifold admitting a Hamiltonian action of a group K which has L as an orbit. We prove various transversality and classification results for such discs which we then apply to the case of a particular Lagrangian in CP3 first noticed by Chiang. We prove that this Lagrangian has non-vanishing Floer cohomology if and only if the coefficient ring has characteristic 5, in which case it generates the split-closed derived Fukaya category as a triangulated category. ",
keywords = "floer cohomology, homogeneous Lagrangian submanifolds",
author = "Evans, {Jonathan David} and YankI Lekili",
year = "2015",
month = oct,
doi = "10.1007/s00029-014-0171-9",
language = "English",
volume = "21",
pages = "1361–1404",
journal = "Selecta Mathematica",
issn = "1420-9020",
publisher = "Springer",
number = "4",

}

RIS

TY - JOUR

T1 - Floer cohomology of the Chiang Lagrangian

AU - Evans, Jonathan David

AU - Lekili, YankI

PY - 2015/10

Y1 - 2015/10

N2 - We study holomorphic discs with boundary on a Lagrangian submanifold L in a Kaehler manifold admitting a Hamiltonian action of a group K which has L as an orbit. We prove various transversality and classification results for such discs which we then apply to the case of a particular Lagrangian in CP3 first noticed by Chiang. We prove that this Lagrangian has non-vanishing Floer cohomology if and only if the coefficient ring has characteristic 5, in which case it generates the split-closed derived Fukaya category as a triangulated category.

AB - We study holomorphic discs with boundary on a Lagrangian submanifold L in a Kaehler manifold admitting a Hamiltonian action of a group K which has L as an orbit. We prove various transversality and classification results for such discs which we then apply to the case of a particular Lagrangian in CP3 first noticed by Chiang. We prove that this Lagrangian has non-vanishing Floer cohomology if and only if the coefficient ring has characteristic 5, in which case it generates the split-closed derived Fukaya category as a triangulated category.

KW - floer cohomology

KW - homogeneous Lagrangian submanifolds

U2 - 10.1007/s00029-014-0171-9

DO - 10.1007/s00029-014-0171-9

M3 - Journal article

VL - 21

SP - 1361

EP - 1404

JO - Selecta Mathematica

JF - Selecta Mathematica

SN - 1420-9020

IS - 4

ER -