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Sergey Arkhipov

Equivariant matrix factorizations and hamiltonian reduction

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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.

Original languageEnglish
JournalBulletin of the Korean Mathematical Society
Pages (from-to)1803-1825
Number of pages23
Publication statusPublished - 2017

    Research areas

  • DG-modules, Equivariant sheaves, Hamiltonian reduction, Matrix factorizations

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