Secondary Invariants for String Bordism and tmf

Details Secondary Invariants for String Bordism and tmf Secondary Invariants for String Bordism and tmf

2009-12-24

arxiv.org/abs/0912.4875v1

Mathematics

K-Theory and Homology

56 pages, 2 pictures

Scientific paper

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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