Equivariant Gromov-Witten Invariants of Algebraic GKM Manifolds

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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dc.contributor.author	Liu, Chiu-Chu Melissa
dc.contributor.author	Sheshmani, A.
dc.date.accessioned	2019-02-18T15:36:56Z
dc.date.available	2019-02-18T15:36:56Z
dc.date.issued	2017
dc.identifier.citation	Equivariant 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 14C05; 14D20; 14F05; 14J30; 14N10
dc.identifier.other	DOI:10.3842/SIGMA.2017.048
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148556
dc.description.abstract	An 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.sponsorship	The 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Equivariant Gromov-Witten Invariants of Algebraic GKM Manifolds	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA