The Geography of Non-Formal Manifolds
We show that there exist non-formal compact oriented manifolds of dimension n and with first Betti number b 1 = b ≥ 0 if and only if n ≥ 3 and b ≥ 2, or n ≥ (7 − 2b) and 0 ≤ b ≤ 2. Moreover, we present explicit examples for each one of these cases.
| Autores: | , |
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| Tipo de recurso: | capítulo de libro |
| Fecha de publicación: | 2005 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/53236 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/53236 |
| Access Level: | acceso abierto |
| Palabra clave: | 514 Real homotopy Formal manifolds Massey products Geometría 1204 Geometría |
| Sumario: | We show that there exist non-formal compact oriented manifolds of dimension n and with first Betti number b 1 = b ≥ 0 if and only if n ≥ 3 and b ≥ 2, or n ≥ (7 − 2b) and 0 ≤ b ≤ 2. Moreover, we present explicit examples for each one of these cases. |
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