Equivariant matrix factorizations and hamiltonian reduction

Sergey Arkhipov, Tina Kanstrup

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

4 Citations (Scopus)

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 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
Volume54
Issue5
Pages (from-to)1803-1825
Number of pages23
ISSN1015-8634
DOIs
Publication statusPublished - 2017

Keywords

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

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