$$RO(C_2\times C_2)$$-graded cohomology ring of a point and applications
Abstract
Abstract We describe the main properties of the $$RO(C_2\times \Sigma _2)$$ R O ( C 2 × Σ 2 ) -graded cohomology ring of a point and apply the results to compute the subring of motivic classes given by the Bredon motivic cohomology of real numbers and to compute $$RO(C_2\times \Sigma _2)$$ R O ( C 2 × Σ 2 ) -graded cohomology ring of $$E_{\Sigma _2}C_2$$ E Σ 2 C 2 . This generalizes Voevodsky’s identification of motivic cohomology of real numbers with the positive cone of $$RO(C_2)$$ R O ( C 2 ) graded cohomology of a point.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Algebraic structures and combinatorial models
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Journal of Homotopy and Related Structures
- Publisher
- Springer Science and Business Media LLC
- Volume
- 21
- Issue
- 4
- Pages
- 757-835
- Publication date
- 24 June 2026
- Language
- EN