Quantum K-theory of grassmannians and non-abelian localization
Algebraic Geometry
2021-03-01 v2
Abstract
In the example of complex grassmannians, we demonstrate various techniques available for computing genus-0 K-theoretic GW-invariants of flag manifolds and more general quiver varieties. In particular, we address explicit reconstruction of all such invariants using finite-difference operators, the role of the q-hypergeometric series arising in the context of quasimap compactifications of spaces of rational curves in such varieties, the theory of twisted GW-invariants including level structures, as well as the Jackson-type integrals playing the role of equivariant K-theoretic mirrors.
Keywords
Cite
@article{arxiv.2008.08182,
title = {Quantum K-theory of grassmannians and non-abelian localization},
author = {Alexander Givental and Xiaohan Yan},
journal= {arXiv preprint arXiv:2008.08182},
year = {2021}
}