10 citations · 46 across the 19 of their papers we have counts for
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math.GT2014★ 10 cited
Positive factorizations of mapping classes
R. Inanc Baykur, Naoyuki Monden, Jeremy Van Horn-Morris
In this article, we study the maximal length of positive Dehn twist factorizations of surface mapping classes. In connection to fundamental questions regarding the uniform topology…
math.GT2014
Constructing Lefschetz fibrations via Daisy Substitutions
Anar Akhmedov, Naoyuki Monden
We construct new families of non-hyperelliptic Lefschetz fibrations by applying the daisy substitutions to the families of words $(c_1c_2 \cdots c_{2g-1}c_{2g}{c_{2g+1}}^2c_{2g}c_{…
math.GT2014★ 4 cited
Lefschetz pencils and finitely presented groups
Ryoma Kobayashi, Naoyuki Monden
In this paper, given a finitely presented group , we provide the explicit monodromy of a Lefschetz fibration with -sections whose total space has fundamental group by…