Permutation-equivariant quantum K-theory IV. $D_q$-modules
Algebraic Geometry
2015-09-03 v1
Abstract
In Part II, we saw how genus-0 permutation-equivariant quantum K-theory of a manifold with isolated fixed points of a torus action can be reduced via fixed point localization to permutation-equivariant quantum K-theory of the point. In Part III, we gave a complete description of genus-0 permutation-equivariant quantum K-theory of the point by means of adelic characterization. Here we apply the adelic characterization to introduce the action on this theory of a certain group of -difference operators. This action will enable us to prove that toric -hypergeometric functions represent K-theoretic GW-invariants of toric manifolds.
Cite
@article{arxiv.1509.00830,
title = {Permutation-equivariant quantum K-theory IV. $D_q$-modules},
author = {Alexander Givental},
journal= {arXiv preprint arXiv:1509.00830},
year = {2015}
}
Comments
8 pages