The Goldman bracket characterizes homeomorphisms

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.

references added; to appear in Comptes rendus - Mathématique

References in corpus (1)

• String Topology

Cited by in corpus (1)

• The logarithms of Dehn twists on non-orientable surfaces