Exts and Vertex Operators

Mathematics – Algebraic Geometry

Scientific paper

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13 pages, 0 figures

Scientific paper

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.

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