Generalised Miller–Morita–Mumford classes for block bundles and topological bundles

Ebert, Johannes¹ ; Randal-Williams, Oscar²

¹Mathematisches Institut der Westfälischen Wilhelms-Universität Münster, Einsteinstr. 62, 48149 Münster, Germany
²Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WB, UK

Algebraic and Geometric Topology, Tome 14 (2014) no. 2, pp. 1181-1204

Résumé

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.

Détail

DOI : 10.2140/agt.2014.14.1181

Classification : 55R40, 57R20, 55R60, 57N55
Keywords: cohomology of diffeomorphism groups, Miller–Morita–Mumford classes, block diffeomorphisms

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