English

Rational, trigonometric, elliptic algebras and moduli spaces of sheaves on surfaces

Algebraic Geometry 2024-11-11 v2 Quantum Algebra Representation Theory

Abstract

We survey the well-known Yangian of gl^1\widehat{\mathfrak{gl}}_1 /quantum toroidal gl1\mathfrak{gl}_1 action on the cohomology / KK-theory of moduli spaces of stable sheaves on surfaces, and give the generalization of this construction to elliptic cohomology.

Keywords

Cite

@article{arxiv.2407.00522,
  title  = {Rational, trigonometric, elliptic algebras and moduli spaces of sheaves on surfaces},
  author = {Andrei Neguţ},
  journal= {arXiv preprint arXiv:2407.00522},
  year   = {2024}
}