Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659861 | Topology and its Applications | 2008 | 21 Pages |
Abstract
We exhibit a set of edges (moves) and 2-cells (relations) making the complex of pant decompositions on a surface a simply connected complex. Our construction, unlike the previous ones, keeps the arguments concerning the structural transformations independent from those deriving from the action of the mapping class group. The moves and the relations turn out to be supported in subsurfaces with 3gā3+n=1,2 (where g is the genus and n is the number of boundary components), illustrating in this way the so-called Grothendieck principle.
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Mathematics
Geometry and Topology