Topological K-Theory of Complex Projective Spaces

2013/03/16 by Virgil Chan, Chan, Virgil · 1 citation
Computer Science · Mathematics · #19L64 (Primary) 55N15 (Secondary) #Advanced Topology and Set Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Topological and Geometric Data Analysis #math.KT #msc:19L64 #msc:55N15

paper · pdf · doi:10.48550/arxiv.1303.3959

This paper is the senior thesis the author have written as an undergraduate at UC Davis

arxiv created 2013/03/16 · openalex publication_date 2013/03/16 · arxiv updated 2013/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the K-theory of complex projective spaces. There are three major ingredients: the exact sequence of K-groups, the theory of Chern character and the Bott Periodicity Theorem.

Cited by

• On structured spaces and their properties

Related

• Poincaré duality for K-theory of equivariant complex projective spaces
• The image of Bott periodicity in cyclic homology
• Periodicity Uncovered: A Deep Dive into Bott's Theorems in K-Theory and Fiber Bundles
• Semi-topological K-theory for certain projective varieties
• An algebraic geometric realization of the Chern character