Presentation and central extensions of mapping class groups

Gervais, Sylvain

doi:10.1090/S0002-9947-96-01509-7

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.

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