Volume 21, issue 3 (2017)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 28
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
On the topological contents of $\eta$–invariants

Ulrich Bunke

Geometry & Topology 21 (2017) 1285–1385
Abstract

We discuss a universal bordism invariant obtained from the Atiyah–Patodi–Singer η–invariant from the analytic and homotopy-theoretic point of view. Classical invariants like the Adams e–invariant, ρ–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.

Keywords
eta invariant, $K$–theory, bordism
Mathematical Subject Classification 2010
Primary: 58J28
References
Publication
Received: 8 November 2013
Revised: 20 May 2016
Accepted: 5 September 2016
Published: 10 May 2017
Proposed: Ralph Cohen
Seconded: Peter Teichner, Tomasz Mrowka
Authors
Ulrich Bunke
Fakultät für Mathematik
Universität Regensburg
D-93040 Regensburg
Germany