The Hamiltonian surface of $\Aut(F_2)$
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913919950389248 |
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| 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 |