Equivariant Matrix Factorizations and Hamiltonian reduction
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 $\mu : T^*X \to Lie(G)^*$  the derived category of Gequivariant coherent sheaves on the derived fiber $\mu^{1}(0)$ and the derived category of $G$equivariant matrix factorizations on $T^*X \times Lie(G)$ with potential given by $\mu$.
 Publication:

arXiv eprints
 Pub Date:
 October 2015
 arXiv:
 arXiv:1510.07472
 Bibcode:
 2015arXiv151007472A
 Keywords:

 Mathematics  Representation Theory
 EPrint:
 22 pages