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On the topological contents of η–invariants

Bunke, Ulrich (2017) On the topological contents of η–invariants. Geometry & Topology 21 (3), pp. 1285-1385.

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Other URL: http://doi.org/10.2140/gt.2017.21.1285


Abstract

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.


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Item type:Article
Date:2017
Institutions:Mathematics > Prof. Dr. Ulrich Bunke
Identification Number:
ValueType
10.2140/gt.2017.21.1285DOI
Keywords:RIEMANNIAN GEOMETRY; SPECTRAL ASYMMETRY; CYCLIC 2-GROUPS; INDEX THEOREM; K-THEORY; COBORDISM; MANIFOLDS; HOMOLOGY; COHOMOLOGY; OPERATORS;
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:38456
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