Naoyuki Monden

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math.GT2008

The mapping class group of a punctured surface is generated by three elements

Naoyuki Monden

Let $Σ_{g, p}$ be a closed oriented surface of genus $g \geq 1$ with $p$ punctures. Let $Mod (Σ_{g,p})$ be the mapping class group of $Σ_{g, p}$ . Wajnryb proved in [Wa] th…

math.GT2008

Generating the mapping class group of a punctured surface by involutions

Naoyuki Monden

Let $Σ_{g, b}$ denote a closed orientable surface of genus $g$ with $b$ punctures and let $Mod (Σ_{g,b})$ denote its mapping class group. In [Luo] Luo proved that if the…