arXiv Open Access 2025

Automorphisms of fine curve graphs of planar surfaces

Roberta Shapiro Rohan Wadhwa Arthur Wang Yuchong Zhang

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Abstrak

The fine curve graph of a surface is the graph whose vertices are simple closed essential curves in the surface and whose edges connect disjoint curves. In this paper, we prove that the automorphism group of the fine curve graph of a surface is naturally isomorphic to the homeomorphism group of the surface for boundaryless planar surfaces with at least 7 punctures.

Topik & Kata Kunci

math.GT

Penulis (4)

Roberta Shapiro

Rohan Wadhwa

Arthur Wang

Yuchong Zhang

Format Sitasi

APA MLA BibTeX

Shapiro, R., Wadhwa, R., Wang, A., Zhang, Y. (2025). Automorphisms of fine curve graphs of planar surfaces. https://arxiv.org/abs/2506.06142

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓