On the intersection form of surfaces
Differential Geometry
2017-05-02 v2 Dynamical Systems
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.
Cite
@article{arxiv.1302.4692,
title = {On the intersection form of surfaces},
author = {Daniel Massart and Bjoern Muetzel},
journal= {arXiv preprint arXiv:1302.4692},
year = {2017}
}
Comments
30 pages, 8 figures (submitted to Manuscripta Mathematica)