Mapping class group of a surface is generated by two elements

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The Mapping Class Group of a Punctured Surface Is Generated by Three Elements

Let Σg,p be a closed oriented surface of genus g ≥ 1 with p punctures. Let Mod(Σg,p) be the mapping class group of Σg,p. Wajnryb proved in [Wa] that for p = 0, 1 Mod(Σg,p) is generated by two elements. Korkmaz proved in [Ko] that one of these generators can be taken as a Dehn twist. For p ≥ 2, We proved that Mod(Σg,p) is generated by three elements.

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ژورنال

عنوان ژورنال: Topology

سال: 1996

ISSN: 0040-9383

DOI: 10.1016/0040-9383(95)00037-2