Coherent sheaves on quiver varieties and categorification

Sabin Cautis; Joel Kamnitzer; Anthony Licata

doi:10.1007/s00208-013-0921-6

Coherent sheaves on quiver varieties and categorification

Sabin Cautis, Joel Kamnitzer^*, Anthony Licata

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

We construct geometric categorical g 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.

Original language	English
Pages (from-to)	805-854
Number of pages	50
Journal	Mathematische Annalen
Volume	357
Issue number	3
DOIs	https://doi.org/10.1007/s00208-013-0921-6
Publication status	Published - Nov 2013
Externally published	Yes

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title = "Coherent sheaves on quiver varieties and categorification",

abstract = "We construct geometric categorical g 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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AB - We construct geometric categorical g 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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U2 - 10.1007/s00208-013-0921-6

DO - 10.1007/s00208-013-0921-6

M3 - Article

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VL - 357

SP - 805

EP - 854

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 3

ER -

Coherent sheaves on quiver varieties and categorification

Abstract

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