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On the intersection form of surfaces
Article de revue   Avec comité de lecture

On the intersection form of surfaces

Daniel Massart et Bjoern Muetzel
Manuscripta mathematica, Vol.143(1), pp.19-49
01/2014

Résumé

homology intersection form surfaces
Given a closed, oriented surface M, the algebraic intersection of closed curves induces a symplectic form Int(.,.) on the first homology group of M. If M is equipped with a Riemannian metric g, the first homology group of M inherits a norm, called the stable norm. We study the norm of the bilinear form Int(.,.), with respect to the stable norm.

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