Loops in surfaces and star-fillings
Geometric Topology
2019-12-09 v4
Abstract
We discuss a new approach to computing the standard algebraic operations on homotopy classes of loops in surfaces: the homological intersection number, Goldman's Lie bracket, and the author's Lie cobracket. Our approach uses fillings of the surfaces by certain graphs.
Keywords
Cite
@article{arxiv.1910.01602,
title = {Loops in surfaces and star-fillings},
author = {Vladimir Turaev},
journal= {arXiv preprint arXiv:1910.01602},
year = {2019}
}
Comments
21 pages