The mapping class group of a punctured surface is generated by three elements
نویسندگان
چکیده
منابع مشابه
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: Hiroshima Mathematical Journal
سال: 2011
ISSN: 0018-2079
DOI: 10.32917/hmj/1301586286