Corpus ID: 119605393

# Equivariant Matrix Factorizations and Hamiltonian reduction

@article{Arkhipov2015EquivariantMF,
title={Equivariant Matrix Factorizations and Hamiltonian reduction},
author={Sergey Arkhipov and Tina Kanstrup},
journal={arXiv: Representation Theory},
year={2015}
}
• Published 26 October 2015
• Mathematics
• arXiv: Representation Theory
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 G-equivariant 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 $\mu$.
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