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.

21 pages, 0 figures

References in corpus (3)

• Multiple $q$-Zeta Values
• Chern Classes of Tautological Sheaves on Hilbert Schemes
• Sur l'anneau de cohomologie du schéma de Hilbert de $\CC^2$

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