The Goldman bracket characterizes homeomorphisms

Siddhartha Gadgil

Type: Article

Publication Date: 2011-11-16

Citations: 0

DOI: https://doi.org/10.1016/j.crma.2011.11.005

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. Nous montrons quʼune équivalence dʼhomotopie entre des surfaces compactes, connexes, orientées et de bord non vide, est homotope à un homéomorphisme si et seulement si elle commute avec le crochet de Goldman.

Locations

Comptes Rendus Mathématique - View - PDF
arXiv (Cornell University) - View - PDF
French digital mathematics library (Numdam) - View - PDF

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