A spectral approach to the linking number in the 3-torus
Geometric Topology
2020-09-09 v3 Differential Geometry
Spectral Theory
Abstract
Given a closed Riemannian manifold and a pair of multi-curves in it, we give a formula relating the linking number of the later to the spectral theory of the Laplace operator acting on differential one forms. As an application, we compute the linking number of any two multi-geodesics of the flat torus of dimension 3, generalising a result of P. Dehornoy.
Keywords
Cite
@article{arxiv.1709.00874,
title = {A spectral approach to the linking number in the 3-torus},
author = {Adrien Boulanger},
journal= {arXiv preprint arXiv:1709.00874},
year = {2020}
}
Comments
21 pages, 4 figures