English

Generators for categorical Hall algebras of surfaces

Algebraic Geometry 2022-12-19 v4 Representation Theory

Abstract

For a smooth surface SS, Porta-Sala defined a categorical Hall algebra generalizing previous work in K-theory of Zhao and Kapranov-Vasserot. We construct semi-orthogonal decompositions for categorical Hall algebras of points on SS. We refine these decompositions in K-theory for a topological K-theoretic Hall algebra.

Keywords

Cite

@article{arxiv.2106.05176,
  title  = {Generators for categorical Hall algebras of surfaces},
  author = {Tudor Pădurariu},
  journal= {arXiv preprint arXiv:2106.05176},
  year   = {2022}
}

Comments

23 pages