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.
Citation
Erik Carlsson. Andrei Okounkov. "Exts and vertex operators." Duke Math. J. 161 (9) 1797 - 1815, 15 June 2012. https://doi.org/10.1215/00127094-1593380
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