Geodesic
Milnor–Wood inequalities for products
Bucher, Michelle1 ; Gelander, Tsachik2
1Section de Mathématiques, Universite de Geneve, 2–4 rue du Lièvre, Case postale 64, 1211 Genève, Switzerland
2Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Edmond J Safra Campus, Givat Ram, 91904 Jerusalem, Israel
Algebraic and Geometric Topology, Tome 13 (2013) no. 3, pp. 1733-1742
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We prove Milnor–Wood inequalities for local products of manifolds. As a consequence, we establish the generalized Chern conjecture for products M × Σk of any manifold M and k copies of a surface Σ for k sufficiently large.

DOI : 10.2140/agt.2013.13.1733
Classification : 57R20
Keywords: Euler number, flat bundles

Bucher, Michelle  1   ; Gelander, Tsachik  2

1 Section de Mathématiques, Universite de Geneve, 2–4 rue du Lièvre, Case postale 64, 1211 Genève, Switzerland
2 Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Edmond J Safra Campus, Givat Ram, 91904 Jerusalem, Israel 
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Bucher, Michelle; Gelander, Tsachik. Milnor–Wood inequalities for products. Algebraic and Geometric Topology, Tome 13 (2013) no. 3, pp. 1733-1742. doi: 10.2140/agt.2013.13.1733

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