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: T∗X → 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 T∗X ×g with potential given by µ.
Original language | English |
---|---|
Journal | Bulletin of the Korean Mathematical Society |
Volume | 54 |
Issue | 5 |
Pages (from-to) | 1803-1825 |
Number of pages | 23 |
ISSN | 1015-8634 |
DOIs | |
Publication status | Published - 2017 |
Keywords
- DG-modules
- Equivariant sheaves
- Hamiltonian reduction
- Matrix factorizations