The Goldman bracket characterizes homeomorphisms between noncompact surfaces
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
- Siddhartha Gadgil (ORCID: https://orcid.org/0000-0003-4402-3848)
- Sumanta Das (ORCID: https://orcid.org/0009-0006-0397-6115)
- A. K. Nair
Institutions
- Indian Institute of Science Bangalore (IN)
Publication Details
- Journal
- Algebraic & Geometric Topology
- Published
- 2025-10-01
- DOI
- https://doi.org/10.2140/agt.2025.25.3585
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Board for Higher Mathematics