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The Goldman bracket characterizes homeomorphisms between noncompact surfaces

Sumanta Das, Siddhartha Gadgil and Ajay Kumar Nair

Algebraic & Geometric Topology 25 (2025) 3585–3601
Bibliography
1 S Das, Strong topological rigidity of noncompact orientable surfaces, Algebr. Geom. Topol. 24 (2024) 4423 MR4843735
2 S Gadgil, The Goldman bracket characterizes homeomorphisms, C. R. Math. Acad. Sci. Paris 349 (2011) 1269 MR2861998
3 W M Goldman, Invariant functions on Lie groups and Hamiltonian flows of surface group representations, Invent. Math. 85 (1986) 263 MR846929
4 W Magnus, A Karrass, D Solitar, Combinatorial group theory: presentations of groups in terms of generators and relations, Interscience (1966) MR207802
5 J Stillwell, Appendix : The Dehn–Nielsen Theorem, from: "Papers on group theory and topology" (editor M Dehn), Springer (1987) 363 MR881797