Bigraded Equivariant Cohomology of Real Quadrics

Details Bigraded Equivariant Cohomology of Real Quadrics Bigraded Equivariant Cohomology of Real Quadrics

2006-05-28

arxiv.org/abs/math/0605711v1

Mathematics

Algebraic Topology

29 pages

Scientific paper

We give a complete description of the bigraded Bredon cohomology ring of smooth projective real quadrics, with coefficients in the constant Mackey functor $ \mathbf{Z} $. These invariants are closely related to the integral motivic cohomology ring, which is not known for these varieties. Some of the results and techniques introduced can be applied to other geometrically cellular real varieties.

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