Abstract
We discuss a universal bordism invariant obtained from the Atiyah–Patodi–Singer –invariant from the analytic and homotopy-theoretic point of view. Classical invariants like the Adams –invariant, –invariants and –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.
Citation
Ulrich Bunke. "On the topological contents of $\eta$–invariants." Geom. Topol. 21 (3) 1285 - 1385, 2017. https://doi.org/10.2140/gt.2017.21.1285
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