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arxiv: 0912.4875 · v1 · submitted 2009-12-24 · 🧮 math.KT · math.AT

Secondary Invariants for String Bordism and tmf

Ulrich Bunke , Niko Naumann This is my paper
classification 🧮 math.KT math.AT
keywords secondarybordisminvariantsstringanalogcalculatedconstructconstruction
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Using spectral invariants of Dirac operators we construct a secondary version of the Witten genus, a bordism invariant of string manifolds in dimensions $4m-1$. We prove a secondary index theorem which relates this global-analytic construction with its homotopy-theoretic analog. The latter will be calculated through its factorization over topological modular forms.

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