Permutation-equivariant quantum K-theory II. Fixed point localization
Algebraic Geometry
2015-08-19 v1
Abstract
Using projective spaces as examples of toric manifolds, we examine K-theoretic fixed point localization. On the one hand, we will see how the permutation-equivariant theory of the point target space emerges as a necessary ingredient. On the other hand, we will completely characterize the genus-0 permutation-equivariant quantum K-theory of the given toric manifold in terms of such theory for the point, and a certain recursion relation.
Cite
@article{arxiv.1508.04374,
title = {Permutation-equivariant quantum K-theory II. Fixed point localization},
author = {Alexander Givental},
journal= {arXiv preprint arXiv:1508.04374},
year = {2015}
}
Comments
12 pages, 2 figures