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arXiv · 2307.02769

The Goldman bracket characterizes homeomorphisms between non-compact surfaces

Sumanta Das·Siddhartha Gadgil·Ajay Kumar Nair
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Abstract

We show that a homotopy equivalence between two non-compact 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.

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Sumanta Das, Siddhartha Gadgil, Ajay Kumar Nair. 2024-05-14. The Goldman bracket characterizes homeomorphisms between non-compact surfaces. https://doi.org/10.2140/agt.2025.25.3585

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