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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Presentation and central extensions
of mapping class groups


Author: Sylvain Gervais
Journal: Trans. Amer. Math. Soc. 348 (1996), 3097-3132
MSC (1991): Primary 57N05, 20F05; Secondary 20F34, 20F38, 57M05
MathSciNet review: 1327256
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Abstract | References | Similar Articles | Additional Information

Abstract: We give a presentation of the mapping class group $\mathcal {M}$ of a (possibly bounded) surface, considering either all twists or just non-separating twists as generators. We also study certain central extensions of $\mathcal {M}$. One of them plays a key role in studying TQFT functors, namely the mapping class group of a $p_1$-structure surface. We give a presentation of this extension.


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Additional Information

Sylvain Gervais
Affiliation: URA n$^{∘}$ 758 du C.N.R.S., Université de Nantes, Département de Mathématiques, 2 Rue de la Houssinière, F-44072 Nantes Cedex 03, France
Email: gervais@math.univ-nantes.fr

DOI: http://dx.doi.org/10.1090/S0002-9947-96-01509-7
PII: S 0002-9947(96)01509-7
Keywords: Mapping class groups, $p_1$-structure, central extensions, presentation
Received by editor(s): May 25, 1994
Received by editor(s) in revised form: April 5, 1995
Article copyright: © Copyright 1996 American Mathematical Society