Coherent Sheaves on Quiver Varieties and Categorification

Details Coherent Sheaves on Quiver Varieties and Categorification Coherent Sheaves on Quiver Varieties and Categorification

2011-04-03

arxiv.org/abs/1104.0352v1

Mathematics

Algebraic Geometry

36 pages

Scientific paper

We construct geometric categorical Lie algebra actions on the derived
category of coherent sheaves on Nakajima quiver varieties. These actions
categorify Nakajima's construction of Kac-Moody algebra representations on the
K-theory of quiver varieties. We define an induced affine braid group action on
these derived categories.

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