Big I-functions

Ionut Ciocan-Fontanine; Bumsig Kim

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arXiv · 1401.7417

Big I-functions

Ionut Ciocan-Fontanine·Bumsig Kim

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Abstract

We introduce a new big I-function for certain GIT quotients W//G using the quasimap graph space from infinitesimally pointed $\mathbb{P}^1$ to the stack quotient [W/G]. This big I-function is expressible by the small I-function introduced in arXiv:0908.4446 [math.AG] and arXiv:1106.3724 [math.AG]. The I-function conjecturally generates the Lagrangian cone of Gromov-Witten theory for W//G defined by Givental. We prove the conjecture when W//G has a torus action with good properties.

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BibTeX RIS

Ionut Ciocan-Fontanine, Bumsig Kim. 2016-04-21. Big I-functions. https://arxiv.org/abs/1401.7417

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