Derived categories of coherent sheaves and triangulated categories of singularities
Author:
Preprint
Abstract
In this paper we establish an equivalence between the category of graded D-branes of type B in Landau-Ginzburg models with homogeneous superpotential W and the triangulated category of singularities of the fiber of W over zero. We also prove that the category of graded D-branes of type B in such Landau-Ginzburg models is connected via a fully faithful functor to the derived category of coherent sheaves on the projective variety defined by the equation W=0.Keywords
All Related Versions
This publication has 15 references indexed in Scilit:
- Stability of Landau-Ginzburg branesJournal of Mathematical Physics, 2005
- Homological Algebra of Mirror Symmetry1995
- Noncommutative Projective SchemesAdvances in Mathematics, 1994
- Dualizing complexes over noncommutative graded algebrasJournal of Algebra, 1992
- Tilting sheaves in representation theory of algebrasmanuscripta mathematica, 1988
- On the derived category of a finite-dimensional algebraCommentarii Mathematici Helvetici, 1987
- A class of weighted projective curves arising in representation theory of finite dimensional algebras1987
- Coherent sheaves on Pn and problems of linear algebraFunctional Analysis and Its Applications, 1978
- Higher algebraic K-theory: I1973
- Residues and Duality1966