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Quasimaps to GIT fiber bundles and applications

2016/07/28 by Jeongseok Oh, Oh, Jeongseok
Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14D23 #msc:14J33 #msc:14N35

paper · pdf · doi:10.48550/arxiv.1607.08326

41 Pages

arxiv created 2021/07/13 · arxiv updated 2021/07/14

Abstract

Brown proved that the I-function of a toric fibration lies on the overruled Lagrangian cone of its genus zero Gromov-Witten theory, introduced by Coates and Givental. In this paper, we prove the theorem for partial flag variety fibrations. To do so, we will construct new moduli spaces generalising the idea of Ciocan-Fontanine, Kim and Maulik.

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