The Goldman bracket characterizes homeomorphisms

Details The Goldman bracket characterizes homeomorphisms The Goldman bracket characterizes homeomorphisms

2011-09-07

arxiv.org/abs/1109.1395v2

Mathematics

Geometric Topology

references added; to appear in Comptes rendus - Math\'ematique

Scientific paper

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.

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