Geodesic
Automorphisms of fine curve graphs for nonorientable surfaces
Glasgow mathematical journal, Tome 67 (2025) no. 2, pp. 232-244

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DOI

The fine curve graph of a surface was introduced by Bowden, Hensel, and Webb as a graph consisting of essential simple closed curves in the surface. Long, Margalit, Pham, Verberne, and Yao proved that the automorphism group of the fine curve graph of a closed orientable surface is isomorphic to the homeomorphism group of the surface. In this paper, based on their argument, we prove that the automorphism group of the fine curve graph of a closed nonorientable surface $N$ of genus $g \geq 4$ is isomorphic to the homeomorphism group of $N$.
DOI : 10.1017/S001708952400034X
Mots-clés : Homeomorphism groups, fine curve graphs, nonorientable surfaces 
Kimura, Mitsuaki; Kuno, Erika. Automorphisms of fine curve graphs for nonorientable surfaces. Glasgow mathematical journal, Tome 67 (2025) no. 2, pp. 232-244. doi: 10.1017/S001708952400034X
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     title = {Automorphisms of fine curve graphs for nonorientable surfaces},
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     year = {2025},
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     doi = {10.1017/S001708952400034X},
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