Exts and Vertex Operators
Abstract
The direct product of two Hilbert schemes of the same surface has natural Ktheory 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.
 Publication:

arXiv eprints
 Pub Date:
 January 2008
 arXiv:
 arXiv:0801.2565
 Bibcode:
 2008arXiv0801.2565C
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Representation Theory;
 14C05 (Primary);
 17B69 (Secondary)
 EPrint:
 21 pages, 0 figures