Exts and vertex operators

Erik Carlsson, Andrei Okounkov

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1797-1815
Number of pages19
JournalDuke Mathematical Journal
Issue number9
Publication statusPublished - 2012
Externally publishedYes


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