Poincaré duality for K-theory of equivariant complex projective spaces

2007/11/02 by J. P. C. Greenlees, Greenlees, J. P. C., Gareth Williams +2
Mathematics · Physics and Astronomy · #55N15 #55N91 #57R91 #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math.AT #msc:55N15 #msc:55N91 #msc:57R91

paper · pdf · doi:10.48550/arxiv.0711.0346

17 pages

arxiv created 2007/11/02 · openalex publication_date 2007/11/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We make explicit Poincaré duality for the equivariant K-theory of equivariant complex projective spaces. The case of the trivial group provides a new approach to the K-theory orientation.

Related

• On a complex topological orientation for circle-equivariant K-theory
• A stroll in equivariant K-theory
• Topological K-Theory of Complex Projective Spaces
• Equivariant Poincaré duality for quantum group actions
• Equivariant Poincaré duality for cyclic groups of prime order and the Nielsen realisation problem