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arXiv · 1103.4217

On the topological contents of eta invariants

Ulrich Bunke
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Abstract

We discuss an universal bordism invariant obtained from the Atiyah-Patodi-Singer eta-invariant from the analytic and homotopy theoretic point of view. Classical invariants like the Adams e-invariant, $ρ$-invariants and $String$-bordism invariants are derived as special cases. The main results are a secondary index theorem about the coincidence of the analytic and topological constructions and intrinsic expressions for the bordism invariants.

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Ulrich Bunke. 2014-09-24. On the topological contents of eta invariants. https://doi.org/10.2140/gt.2017.21.1285

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