Invariants of combinatorial line arrangements and Rybnikov's example
Following the general strategy proposed by G.Rybnikov, we present a proof of his well-known result, that is, the existence of two arrangements of lines having the same combinatorial type, but nonisomorphic fundamental groups. To do so, the Alexander Invariant and certain invariants of combinatorial...
| Autores: | , , , |
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| Formato: | capítulo de livro |
| Fecha de publicación: | 2006 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/53268 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/53268 |
| Access Level: | acceso abierto |
| Palavra-chave: | 514 Line arrangements Alexander Invariant Geometría 1204 Geometría |
| Resumo: | Following the general strategy proposed by G.Rybnikov, we present a proof of his well-known result, that is, the existence of two arrangements of lines having the same combinatorial type, but nonisomorphic fundamental groups. To do so, the Alexander Invariant and certain invariants of combinatorial line arrangements are presented and developed for combinatorics with only double and triple points. This is part of a more general project to better understand the relationship between topology and combinatorics of line arrangements. |
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