Bunke, Ulrich (2017) On the topological contents of eta-invariants. GEOMETRY & TOPOLOGY, 21 (3). pp. 1285-1385. ISSN 1465-3060, 1364-0380
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We discuss a 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | RIEMANNIAN GEOMETRY; SPECTRAL ASYMMETRY; CYCLIC 2-GROUPS; INDEX THEOREM; K-THEORY; COBORDISM; MANIFOLDS; HOMOLOGY; COHOMOLOGY; OPERATORS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Ulrich Bunke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 12:57 |
| Last Modified: | 21 Feb 2019 06:40 |
| URI: | https://pred.uni-regensburg.de/id/eprint/6 |
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