Equivariant Gromov-Witten Invariants of Algebraic GKM Manifolds

dc.contributor.authorLiu, Chiu-Chu Melissa
dc.contributor.authorSheshmani, A.
dc.date.accessioned2019-02-18T15:36:56Z
dc.date.available2019-02-18T15:36:56Z
dc.date.issued2017
dc.description.abstractAn algebraic GKM manifold is a non-singular algebraic variety equipped with an algebraic action of an algebraic torus, with only finitely many torus fixed points and finitely many 1-dimensional orbits. In this expository article, we use virtual localization to express equivariant Gromov-Witten invariants of any algebraic GKM manifold (which is not necessarily compact) in terms of Hodge integrals over moduli stacks of stable curves and the GKM graph of the GKM manifold.uk_UA
dc.description.sponsorshipThe first author would like to thank Tom Graber for his suggestion of generalizing the computations for toric manifolds in [23] to GKM manifolds. The second author would like to thank the Columbia University for hospitality during his visits. We wish to thank Rahul Pandharipande for his comments on an earlier version of this paper. This work is partially supported by NSF DMS-1159416 and NSF DMS-1206667.uk_UA
dc.identifier.citationEquivariant Gromov-Witten Invariants of Algebraic GKM Manifolds / Chiu-Chu Melissa Liu, A. Sheshmani // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 29 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 14C05; 14D20; 14F05; 14J30; 14N10
dc.identifier.otherDOI:10.3842/SIGMA.2017.048
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/148556
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleEquivariant Gromov-Witten Invariants of Algebraic GKM Manifoldsuk_UA
dc.typeArticleuk_UA

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