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.
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Titolo: | Combinatorial structures of pant decompositions | |
Autori: | ||
Data di pubblicazione: | 2007 | |
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. | |
Handle: | http://hdl.handle.net/11581/252588 | |
Appare nelle tipologie: | Altro |
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