[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b160758

EQUIVARIANT MATRIX FACTORIZATIONS AND HAMILTONIAN REDUCTION

Arkhipov, Sergey (Matematisk Institut Aarhus Universitet)
Kanstrup, Tina (Hausdorff Center for Mathematics)

Publication Information

Bulletin of the Korean Mathematical Society / v.54, no.5, 2017 , pp. 1803-1825 More about this Journal

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 ${\mu}:T^{\ast}X{\rightarrow}g^{\ast}$ - the derived category of G-equivariant coherent sheaves on the derived fiber ${\mu}^{-1}(0)$ and the derived category of G-equivariant matrix factorizations on $$T^{\ast$ $}X{\times}g$$ with potential given by ${\mu}$ .

Keywords

DG-modules; equivariant sheaves; Hamiltonian reduction; matrix factorizations;

Citations & Related Records

Reference

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