English

Moduli of Sheaves on Surfaces and Action of the Oscillator Algebra

Algebraic Geometry 2007-05-23 v2 High Energy Physics - Theory

Abstract

Let S be a smooth projective algebraic surface. Generalizing results of Nakajima and Grojnowski, we construct (under some assumptions) an action of the oscillator algebra associated to the cohomology of S, on the cohomology of the moduli spaces of stable rank r sheaves on S.

Keywords

Cite

@article{arxiv.math/9811092,
  title  = {Moduli of Sheaves on Surfaces and Action of the Oscillator Algebra},
  author = {Vladimir Baranovsky},
  journal= {arXiv preprint arXiv:math/9811092},
  year   = {2007}
}

Comments

35 pages, Latex2e, some typos and references corrected