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An Isaac Newton Institute Workshop

Trends in Noncommutative Geometry

Topological boundary maps in physics, general theory and applications

Authors: Johannes Kellendonk (Lyon), Serge Richard (Lyon)

Abstract

$K$-theory boundary maps and their duals in cyclic cohomology are used to relate topological invariants of bulk and boundary in physical systems. We explain in particular an application to potential scattering thus providing a topological explanation of Levinson's theorem.