Milnor–Wood inequalities for products

Bucher, Michelle; Gelander, Tsachik

doi:10.2140/agt.2013.13.1733

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Milnor–Wood inequalities for products

Michelle Bucher and Tsachik Gelander

Algebraic & Geometric Topology 13 (2013) 1733–1742

DOI: 10.2140/agt.2013.13.1733

Abstract

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

Keywords

Euler number, flat bundles

Mathematical Subject Classification 2010

Primary: 57R20

References

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

Volume 13, issue 3 (2013)