Equivariant matrix factorizations and hamiltonian reduction

Sergey Arkhipov, Tina Kanstrup

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Abstract

Let X be a smooth scheme with an action of an algebraic group G. We establish an equivalence of two categories related to the corresponding moment map µ: TX → g - the derived category of G-equivariant coherent sheaves on the derived fiber µ 1(0) and the derived category of G-equivariant matrix factorizations on TX ×g with potential given by µ.

OriginalsprogEngelsk
TidsskriftBulletin of the Korean Mathematical Society
Vol/bind54
Nummer5
Sider (fra-til)1803-1825
Antal sider23
ISSN1015-8634
DOI
StatusUdgivet - 2017

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