  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.

Algebraic Topology;Algebraic Geometry