On the topological contents of eta invariants

Details On the topological contents of eta invariants On the topological contents of eta invariants

2011-03-22

arxiv.org/abs/1103.4217v1

Mathematics

Algebraic Topology

94 pages, 5 figures

Scientific paper

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, $\rho$-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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