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arXiv · 1302.4692

On the intersection form of surfaces

Daniel Massart·Bjoern Muetzel
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Abstract

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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Daniel Massart, Bjoern Muetzel. 2013-02-26. On the intersection form of surfaces. https://doi.org/10.1007/s00229-013-0615-0

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