The Goldman bracket characterizes homeomorphisms
Geometric Topology
2011-11-08 v2
Abstract
We show that a homotopy equivalence between compact, connected, oriented surfaces with non-empty boundary is homotopic to a homeomorphism if and only if it commutes with the Goldman bracket.
Cite
@article{arxiv.1109.1395,
title = {The Goldman bracket characterizes homeomorphisms},
author = {Siddhartha Gadgil},
journal= {arXiv preprint arXiv:1109.1395},
year = {2011}
}
Comments
references added; to appear in Comptes rendus - Math\'ematique