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On the singular braid monoid of an orientable surface
Author(s):
Jerónimo
Díaz-Cantos;
Juan
González-Meneses;
José
M.
Tornero
Journal:
Proc. Amer. Math. Soc.
132
(2004),
2867-2873.
MSC (2000):
Primary 20F36;
Secondary 20F38
Posted:
May 20, 2004
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Abstract:
In this paper we show that the singular braid monoid of an orientable surface can be embedded in a group. The proof is purely topological, making no use of the monoid presentation.
References:
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- D. Bar-Natan, On the Vassiliev knot invariants. Topology (2) 34 (1995), 423-472. MR 97d:57004
- 3.
- G. Basset, Quasi-commuting extensions of groups. Comm. Algebra (11) 28 (2000), 5443-5454. MR 2001h:20083
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Additional Information:
Jerónimo
Díaz-Cantos
Affiliation:
Departamento de Álgebra, Universidad de Sevilla, Apdo. 1160, 41080 Sevilla, Spain
Juan
González-Meneses
Affiliation:
Departamento de Matemática Aplicada I, E.T.S. de Arquitectura, Universidad de Sevilla, Avda. Reina Mercedes, 41013 Sevilla, Spain
Address at time of publication:
Departamento de Álgebra, Universidad de Sevilla, Apdo. 1160, 41080 Sevilla, Spain
Email:
meneses@us.es
José
M.
Tornero
Affiliation:
Departamento de Álgebra, Universidad de Sevilla, Apdo. 1160, 41080 Sevilla, Spain
Email:
tornero@us.es
DOI:
10.1090/S0002-9939-04-07307-1
PII:
S 0002-9939(04)07307-1
Keywords:
Singular braids
Received by editor(s):
February 21, 2003
Received by editor(s) in revised form:
April 1, 2003
Posted:
May 20, 2004
Additional Notes:
The second author was supported by BFM 2001--3207 and FQM 218.
The third author was supported by BFM 2001--3207 and FQM 218.
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2004,
American Mathematical Society
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