15 July 2010 Coherent sheaves and categorical sl2 actions
Sabin Cautis, Joel Kamnitzer, Anthony Licata
Author Affiliations +
Duke Math. J. 154(1): 135-179 (15 July 2010). DOI: 10.1215/00127094-2010-035

Abstract

We introduce the concept of a geometric categorical sl2 action and relate it to that of a strong categorical sl2 action. The latter is a special kind of 2-representation in the sense of Lauda and Rouquier. The main result is that a geometric categorical sl2 action induces a strong categorical sl2 action. This allows one to apply the theory of strong sl2 actions to various geometric situations. Our main example is the construction of a geometric categorical sl2 action on the derived category of coherent sheaves on cotangent bundles of Grassmannians

Citation

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Sabin Cautis. Joel Kamnitzer. Anthony Licata. "Coherent sheaves and categorical sl2 actions." Duke Math. J. 154 (1) 135 - 179, 15 July 2010. https://doi.org/10.1215/00127094-2010-035

Information

Published: 15 July 2010
First available in Project Euclid: 14 July 2010

zbMATH: 1228.14011
MathSciNet: MR2668555
Digital Object Identifier: 10.1215/00127094-2010-035

Subjects:
Primary: 14E05
Secondary: 17B37

Rights: Copyright © 2010 Duke University Press

Vol.154 • No. 1 • 15 July 2010
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