arXiv Open Access 2021

Automorphisms of the fine curve graph

Adele Long Dan Margalit Anna Pham Yvon Verberne Claudia Yao

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Abstrak

Building on work of Farb and the second author, we prove that the group of automorphisms of the fine curve graph for a surface is isomorphic to the group of homeomorphisms of the surface. This theorem is analogous to the seminal result of Ivanov that the group of automorphisms of the (classical) curve graph is isomorphic to the extended mapping class group of the corresponding surface.

Topik & Kata Kunci

math.GT

Penulis (5)

Adele Long

Dan Margalit

Anna Pham

Yvon Verberne

Claudia Yao

Format Sitasi

APA MLA BibTeX

Long, A., Margalit, D., Pham, A., Verberne, Y., Yao, C. (2021). Automorphisms of the fine curve graph. https://arxiv.org/abs/2108.04872

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓