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Equivariant Gromov-Witten Invariants of Algebraic GKM Manifolds

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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 one-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.
Original languageEnglish
Article number13
JournalSymmetry, Integrability and Geometry: Methods and Applications
Number of pages21
Publication statusPublished - 2017

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