Classifying space for U(n): Difference between revisions

Revision as of 23:17, 30 March 2011

Revision as of 10:56, 28 July 2011

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The [[topological K-theory]] is known explicitly in terms of [[numerical polynomial|numerical]] [[symmetric polynomial]]s.

The K-theory reduces to computing <math>K_0</math>, since K-theory is 2-periodic by the [[Bott periodicity theorem]], and

<math>BU(n)</math> is a limit of complex manifolds, so it has a [[CW-structure]] with only cells in even dimensions, so odd K-theory vanishes.