On the intersection form of surfaces
arXiv:1302.4692 · doi:10.1007/s00229-013-0615-0
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.
30 pages, 8 figures (submitted to Manuscripta Mathematica)