English

Exts and Vertex Operators

Algebraic Geometry 2019-12-19 v3 Representation Theory

Abstract

The direct product of two Hilbert schemes of the same surface has natural K-theory classes given by the alternating Ext groups between the two ideal sheaves in question, twisted by a line bundle. We express the Chern classes of these virtual bundles in terms of Nakajima operators.

Keywords

Cite

@article{arxiv.0801.2565,
  title  = {Exts and Vertex Operators},
  author = {Erik Carlsson and Andrei Okounkov},
  journal= {arXiv preprint arXiv:0801.2565},
  year   = {2019}
}

Comments

21 pages, 0 figures

R2 v1 2026-06-21T10:03:37.468Z