Presentations for the monoids of singular braids on closed surfaces

We give presentations, in terms of generators and relations, for the monoids SBn(M) of singular braids on closed surfaces. The proof of the validity of these presentations can also be applied to verify, in a new way, the presentations given by Birman for the monoids of Singular Artin braids.

Detalles Bibliográficos
Autor: González-Meneses López, Juan
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2002
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/49121
Acceso en línea:http://hdl.handle.net/11441/49121
https://doi.org/10.1081/AGB-120003991
Access Level:acceso abierto
Palabra clave:Braid
Singular braid
Surface
Monoid
Presentation
Descripción
Sumario:We give presentations, in terms of generators and relations, for the monoids SBn(M) of singular braids on closed surfaces. The proof of the validity of these presentations can also be applied to verify, in a new way, the presentations given by Birman for the monoids of Singular Artin braids.