Presentation and central extensions of mapping class groups
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- by Sylvain Gervais PDF
- Trans. Amer. Math. Soc. 348 (1996), 3097-3132 Request permission
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.References
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Additional Information
- Sylvain Gervais
- Affiliation: URA n$^{\circ }$ 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
- Received by editor(s): May 25, 1994
- Received by editor(s) in revised form: April 5, 1995
- © Copyright 1996 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 348 (1996), 3097-3132
- MSC (1991): Primary 57N05, 20F05; Secondary 20F34, 20F38, 57M05
- DOI: https://doi.org/10.1090/S0002-9947-96-01509-7
- MathSciNet review: 1327256