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Bigraded Equivariant Cohomology of Real Quadrics

2006/05/28 by Pedro F. dos Santos, Santos, Pedro F. dos, Paulo Lima‐Filho +2
Mathematics · #14P25 #55N91 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #math.AG #math.AT #msc:14P25 #msc:55N91

paper · pdf · doi:10.48550/arxiv.math/0605711

29 pages

arxiv created 2006/05/28 · openalex publication_date 2006/05/28 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We give a complete description of the bigraded Bredon cohomology ring of smooth projective real quadrics, with coefficients in the constant Mackey functor 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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