Volume 14, issue 2 (2014)

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

Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643

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
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
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