#### Volume 13, issue 3 (2013)

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 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
Milnor–Wood inequalities for products

### Michelle Bucher and Tsachik Gelander

Algebraic & Geometric Topology 13 (2013) 1733–1742
##### Abstract

We prove Milnor–Wood inequalities for local products of manifolds. As a consequence, we establish the generalized Chern conjecture for products $M×{\Sigma }^{k}$ of any manifold $M$ and $k$ copies of a surface $\Sigma$ for $k$ sufficiently large.

##### Keywords
Euler number, flat bundles
Primary: 57R20
##### Publication
Received: 14 March 2012
Accepted: 31 December 2012
Published: 18 May 2013
##### Authors
 Michelle Bucher Section de Mathématiques Universite de Geneve 2–4 rue du Lièvre, Case postale 64 1211 Genève Switzerland http://www.unige.ch/math/folks/bucher/ Tsachik Gelander Einstein Institute of Mathematics The Hebrew University of Jerusalem Edmond J Safra Campus, Givat Ram 91904 Jerusalem Israel