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...

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Detalles Bibliográficos
Autores: Montesinos Amilibia, José María, Safont Edo, Carmen
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
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repository_id_str
spelling On the Birman invariants of Heegaard splittingsMontesinos Amilibia, José MaríaSafont Edo, Carmen515.1633-dimensional manifoldsHeegaard splittinglinking formTopología1210 TopologíaJ. 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.Pacific Journal of MathematicsUniversidad Complutense de Madrid19881988-03-0119881988-03-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/57704reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/577042026-06-02T12:44:21Z
dc.title.none.fl_str_mv On the Birman invariants of Heegaard splittings
title On the Birman invariants of Heegaard splittings
spellingShingle On the Birman invariants of Heegaard splittings
Montesinos Amilibia, José María
515.163
3-dimensional manifolds
Heegaard splitting
linking form
Topología
1210 Topología
title_short On the Birman invariants of Heegaard splittings
title_full On the Birman invariants of Heegaard splittings
title_fullStr On the Birman invariants of Heegaard splittings
title_full_unstemmed On the Birman invariants of Heegaard splittings
title_sort On the Birman invariants of Heegaard splittings
dc.creator.none.fl_str_mv Montesinos Amilibia, José María
Safont Edo, Carmen
author Montesinos Amilibia, José María
author_facet Montesinos Amilibia, José María
Safont Edo, Carmen
author_role author
author2 Safont Edo, Carmen
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 515.163
3-dimensional manifolds
Heegaard splitting
linking form
Topología
1210 Topología
topic 515.163
3-dimensional manifolds
Heegaard splitting
linking form
Topología
1210 Topología
description 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.
publishDate 1988
dc.date.none.fl_str_mv 1988
1988-03-01
1988
1988-03-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/57704
url https://hdl.handle.net/20.500.14352/57704
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Pacific Journal of Mathematics
publisher.none.fl_str_mv Pacific Journal of Mathematics
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869410470101778432
score 15,300724

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