Big I-functions
Algebraic Geometry
2016-04-22 v4 Symplectic Geometry
Abstract
We introduce a new big I-function for certain GIT quotients W//G using the quasimap graph space from infinitesimally pointed 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.
Keywords
Cite
@article{arxiv.1401.7417,
title = {Big I-functions},
author = {Ionut Ciocan-Fontanine and Bumsig Kim},
journal= {arXiv preprint arXiv:1401.7417},
year = {2016}
}
Comments
More typos fixed. To appear in Proceedings of the conference on the occasion of Mukai's 60th birthday