THE UNIVERSAL eta-INVARIANT FOR MANIFOLDS WITH BOUNDARY

Bunke, Ulrich (2015) THE UNIVERSAL eta-INVARIANT FOR MANIFOLDS WITH BOUNDARY. QUARTERLY JOURNAL OF MATHEMATICS, 66 (2). pp. 473-506. ISSN 0033-5606, 1464-3847

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Abstract

We extend the theory of the universal eta-invariant to the case of bordism groups of manifolds with boundaries. This allows the construction of secondary descendants of the universal eta-invariant. We obtain an interpretation of Laures' f-invariant as an example of this general construction. As an aside, we improve a recent result by Han-Zhang about the modularity of a certain formal power series of eta-invariants.

Item Type: Article
Uncontrolled Keywords: K-HOMOLOGY; COBORDISM; GEOMETRY;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Mathematics > Prof. Dr. Ulrich Bunke
Depositing User: Dr. Gernot Deinzer
Date Deposited: 15 Jul 2019 08:04
Last Modified: 15 Jul 2019 08:04
URI: https://pred.uni-regensburg.de/id/eprint/5429

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