05-138 Johannes Kellendonk, Serge Richard

A topological version of Levinson's theorem (137K, PDF) Apr 16, 05

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Abstract. In the framework of scattering theory, we show how the scattering matrix can be related to the projection on the bound states by an index map of K-theory. Pairings with appropriate cyclic cocyles lead naturally to a topological version of Levinson's theorem.

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