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Ulrich Bunke: Bordism, K-theory and eta invariants

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Published on Jul 26, 2012

Ulrich Bunke, University of Regensburg, Germany
Abstract: I will describe and compare homotopy theoretic and analytic constructions of K-theory based invariants detecting torsion elements in bordisms groups. In the case of string bordism I will explain an example of such an invariant which factorizes over the string orientation of topological modular forms.

If time permits I will explain a new version of Chern-Weyl theory based on differential K-theory which is useful to derive intrinsic expressions for the bordism invariants mentioned above.

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