Towards small quantum Chern character
Algebraic Geometry
2025-07-17 v1
Abstract
We show a quantum version of Chern character homomorphism from the small quantum K-theory to the small quantum cohomology in the cases of projective spaces and incidence varieties, whose classical limit gives the classical Chern character homomorphism. We also provide a ring presentation of the small quantum K-theory of Milnor hypersurfaces.
Keywords
Cite
@article{arxiv.2507.12333,
title = {Towards small quantum Chern character},
author = {Hua-Zhong Ke and Changzheng Li and Jiayu Song},
journal= {arXiv preprint arXiv:2507.12333},
year = {2025}
}
Comments
20 pages. Comments are welcome!