The Milnor-Wood inequality, and Affine Manifolds

14 October 2020
Mehdi Yazdi

I will explain what it means for a manifold to have an affine structure and give an introduction to Benzecri's theorem stating that a closed surface admits an affine structure if and only if its Euler characteristic vanishes. I will also talk about an algebraic-topological generalization, due to Milnor and Wood, that bounds the Euler class of a flat circle bundle. No prior familiarity with the concepts is necessary.

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  • Junior Topology and Group Theory Seminar