Permutation-equivariant quantum K-theory V. Toric $q$-hypergeometric functions
Algebraic Geometry
2015-09-15 v1
Abstract
We first retell in the K-theoretic context the heuristics of -equivariant Floer theory on loop spaces which gives rise to -module structures, and in the case of toric manifolds, vector bundles, or super-bundles to their explicit -hypergeometric solutions. Then, using the fixed point localization technique developed in Parts II--IV, we prove that these -hypergeometric solutions represent K-theoretic Gromov-Witten invariants.
Cite
@article{arxiv.1509.03903,
title = {Permutation-equivariant quantum K-theory V. Toric $q$-hypergeometric functions},
author = {Alexander Givental},
journal= {arXiv preprint arXiv:1509.03903},
year = {2015}
}
Comments
11 pages, 1 figure