The Hamiltonian surface of $\Aut(F_2)$

Fuente: arXiv

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Detalles Bibliográficos
Autores principales:	Barré, Sylvain, Pichot, Mikaël
Formato:	Preprint
Publicado:	2025
Materias:	Group Theory
Acceso en línea:	Acceder al recurso
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_version_	1866913919950389248
author	Barré, Sylvain Pichot, Mikaël
author_facet	Barré, Sylvain Pichot, Mikaël
contents	The group of automorphisms of the free group on two generators is known to act geometrically, in an essentially unique way, on a 2-dimensional CAT(0) space X. We prove that X contains precisely two Hamiltonian surfaces. By this we mean a surface in X which visits every vertex and every edge precisely once.
format	Preprint
id	arxiv_https___arxiv_org_abs_2507_00213
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	The Hamiltonian surface of $\Aut(F_2)$ Barré, Sylvain Pichot, Mikaël Group Theory The group of automorphisms of the free group on two generators is known to act geometrically, in an essentially unique way, on a 2-dimensional CAT(0) space X. We prove that X contains precisely two Hamiltonian surfaces. By this we mean a surface in X which visits every vertex and every edge precisely once.
title	The Hamiltonian surface of $\Aut(F_2)$
topic	Group Theory
url	https://arxiv.org/abs/2507.00213

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