The Abelian-Nonabelian Correspondence for I-functions

2018/04/20 by Webb, Rachel · 1 citation
#14D23 #14L30 #14N35 #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1804.07786

Abstract

We prove the abelian-nonabelian correspondence for quasimap I-functions. That is, if Z is an affine l.c.i. variety with an action by a complex reductive group G, we prove an explicit formula relating the quasimap I-functions of the GIT quotients Z//_θ G and Z//_θ T where T is a maximal torus of G. We apply the formula to compute the J-functions of some Grassmannian bundles on Grassmannian varieties and Calabi-Yau hypersurfaces in them.

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