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}
}
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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