On the Birman invariants of Heegaard splittings
J. Birman had observed that the homological information about a given Heegaard splitting of genus g is contained in a double coset in the group of symplectic 2g×2g integer matrices with respect to a suitable subgroup, and found a determinant invariant of this double coset. We obtain complete invaria...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1988 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/57704 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/57704 |
| Access Level: | acceso abierto |
| Palabra clave: | 515.163 3-dimensional manifolds Heegaard splitting linking form Topología 1210 Topología |
| Sumario: | J. Birman had observed that the homological information about a given Heegaard splitting of genus g is contained in a double coset in the group of symplectic 2g×2g integer matrices with respect to a suitable subgroup, and found a determinant invariant of this double coset. We obtain complete invariants of these double cosets by characterizing it in terms of the linking form of the manifold lifted to a handlebody of the Heegaard splitting and then finding complete invariants of this lifted form. |
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