Permutation-equivariant quantum K-theory IX. Quantum Hirzebruch-Riemann-Roch in all genera
Algebraic Geometry
2017-09-12 v1
Abstract
We introduce the most general to date version of the permutation-equivariant quantum K-theory, and express its total descendant potential in terms of cohomological Gromov-Witten invariants. This is the higher-genus analogue of adelic characterization from the paper [7] by Givental-Tonita, and is based on the application of Kawasaki's Riemann-Roch formula to moduli spaces of stable maps.
Keywords
Cite
@article{arxiv.1709.03180,
title = {Permutation-equivariant quantum K-theory IX. Quantum Hirzebruch-Riemann-Roch in all genera},
author = {Alexander Givental},
journal= {arXiv preprint arXiv:1709.03180},
year = {2017}
}