English

On the $K$-theoretic Hall algebra of a surface

Algebraic Geometry 2020-09-24 v2

Abstract

In this paper, we define the KK-theoretic Hall algebra for 00-dimensional coherent sheaves on a smooth projective surface, prove that the algebra is associative and construct a homomorphism to a redefined shuffle algebra analogous to Negut.

Keywords

Cite

@article{arxiv.1901.00831,
  title  = {On the $K$-theoretic Hall algebra of a surface},
  author = {Yu Zhao},
  journal= {arXiv preprint arXiv:1901.00831},
  year   = {2020}
}