Volume 14, issue 2 (2014)

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

Volume 24
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Generalised Miller–Morita–Mumford classes for block bundles and topological bundles

Johannes Ebert and Oscar Randal-Williams

Algebraic & Geometric Topology 14 (2014) 1181–1204
Abstract

The most basic characteristic classes of smooth fibre bundles are the generalised Miller–Morita–Mumford classes, obtained by fibre integrating characteristic classes of the vertical tangent bundle. In this note we show that they may be defined for more general families of manifolds than smooth fibre bundles: smooth block bundles and topological fibre bundles.

Keywords
cohomology of diffeomorphism groups, Miller–Morita–Mumford classes, block diffeomorphisms
Mathematical Subject Classification 2010
Primary: 55R40, 57R20
Secondary: 55R60, 57N55
References
Publication
Received: 28 July 2013
Revised: 1 October 2013
Accepted: 16 October 2013
Published: 21 March 2014
Authors
Johannes Ebert
Mathematisches Institut der Westfälischen Wilhelms-Universität Münster
Einsteinstr. 62
48149 Münster
Germany
Oscar Randal-Williams
Centre for Mathematical Sciences
University of Cambridge
Wilberforce Road
Cambridge CB3 0WB
UK