The equivariant derived category of sheaves is introduced. All usual functors on sheaves are extended to the equivariant situation. Some applications to the equivariant intersection cohomology are given.
The theory may be useful to specialists in representation theory, algebraic geometry or topology.
Author(s): Joseph Bernstein, Valery Lunts (auth.)
Series: Lecture Notes in Mathematics 1578
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1994
Language: English
Pages: 146
City: Berlin; New York
Tags: Algebraic Geometry; Algebraic Topology
Introduction....Pages 1-1
Derived category D G ( X ) and functors....Pages 2-67
DG-modules and equivariant cohomology....Pages 68-125
Equivariant cohomology of toric varieties....Pages 126-132