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Coherent sheaves and categorical sl2 actions

Cautis, Sabin; Kamnitzer, Joel; Licata, Anthony

Description

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...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
URI: http://hdl.handle.net/1885/79496
Source: Duke Mathematical Journal
DOI: 10.1215/00127094-2010-035

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