Equivariant Sheaves and Functors

Joseph Bernstein, Valery Lunts (auth.)0387580719, 9783540580713, 9780387580715, 3540580719

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.

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Table of contents :
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