Exts and Vertex Operators
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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2008
- DOI:
- 10.48550/arXiv.0801.2565
- arXiv:
- arXiv:0801.2565
- Bibcode:
- 2008arXiv0801.2565C
- Keywords:
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- Mathematics - Algebraic Geometry;
- Mathematics - Representation Theory;
- 14C05 (Primary);
- 17B69 (Secondary)
- E-Print:
- 21 pages, 0 figures