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arXiv · 1804.07786

The Abelian-Nonabelian Correspondence for $I$-functions

Rachel Webb
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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 $Z//_{\theta} G$ and $Z//_{\theta} T$ 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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Rachel Webb. 2018-04-20. The Abelian-Nonabelian Correspondence for $I$-functions. https://arxiv.org/abs/1804.07786

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