Given a surface Σg,n, we construct a 2-dimensional, finite, simply connected CW complex Sg,n, whose vertices are in one-to-one correspondence with the combinatorial structures of pant decompositions of Σg,n, i.e. with the Mg,n-equivalence classes of such decompositions. This is the first step of a process leading to the construction of an infinite simply connected complex codifying all the pant decompositions on Σg,n and the transformations between them, Tg,n.
Combinatorial structures of pant decompositions
BENVENUTI, Silvia;PIERGALLINI, Riccardo
2007-01-01
Abstract
Given a surface Σg,n, we construct a 2-dimensional, finite, simply connected CW complex Sg,n, whose vertices are in one-to-one correspondence with the combinatorial structures of pant decompositions of Σg,n, i.e. with the Mg,n-equivalence classes of such decompositions. This is the first step of a process leading to the construction of an infinite simply connected complex codifying all the pant decompositions on Σg,n and the transformations between them, Tg,n.File in questo prodotto:
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