Adams operations in smooth K-theory

2009/04/28 by Ulrich Bunke, Bunke, Ulrich
Mathematics · #19L20 #FOS: Mathematics #K-Theory and Homology (math.KT) #math.KT #msc:19L20

paper · pdf · doi:10.48550/arxiv.0904.4355

32 pages

arxiv created 2009/04/28 · arxiv updated 2009/12/01

Abstract

We show that the Adams operations in complex K-theory lift to operations in smooth K-theory. The main result is a Riemann-Roch type theorem about the compatibility of the Adams operations and the integration in smooth K-theory.

Related

• The Riemann-Roch theorem for the Adams operations
• Adams operations on higher arithmetic K-theory
• Operations in connective K-theory
• From algebraic K-theory to hermitian K-theory
• A version of smooth K-theory adapted to the total Chern class