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arxiv: 1201.0332 · v1 · pith:ZDSHYCSPnew · submitted 2012-01-01 · 🧮 math.AT

Milnor-Wood inequalities for products

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keywords productsinequalitiesmilnor-woodproductsigmachernconjectureconsequence
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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 $M\times \Sigma^k$ for any product of a manifold $M$ with a product of $k$ copies of a surface $\Sigma$ for $k$ sufficiently large.

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