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The Goldman bracket characterizes homeomorphisms between noncompact surfaces

Year: 2025
Type: article
Abstract: We show that a homotopy equivalence between two noncompact orientable surfaces is homotopic to a homeomorphism if and only if it preserves the Goldman bracket, provided our surfaces are neither the plane nor the punctured plane.57K20
Authors: Sumanta Das, Siddhartha Gadgil, Ajay Kumar Nair
Language: English
Open Access status: hybrid
OpenAlex ID: W4414962545
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Cites: 4
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