The stable splitting of $bu\wedge BSO(2n)$
I-Ming Tsai
TL;DR
This paper provides a detailed stable splitting of the complex connective K-theory for the classifying space of even-dimensional special orthogonal groups, advancing understanding in algebraic topology.
Contribution
It introduces a new stable splitting result specifically for the complex connective K-theory of BSO(2n), which was not previously known.
Findings
Explicit stable splitting of complex connective K-theory for BSO(2n)
Enhanced understanding of the structure of classifying spaces in algebraic topology
Potential applications in computations involving special orthogonal groups
Abstract
We give the stable splitting of the complex connective K-theory of the classifying space of special orthogonal groups on even dimensions.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry · Algebraic structures and combinatorial models