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

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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