We exhibit a finite presentation for the complex of transformations of pant decompositions on a surface of genus zero with r boundary components, where r>2. The moves and the relations turn out to be supported in subsurfaces with r=4,5, illustrating in this way the so called Grothendieck principle.
The groupoid of pant decompositions on surfaces of genus zero
BENVENUTI, Silvia;PIERGALLINI, Riccardo
2006-01-01
Abstract
We exhibit a finite presentation for the complex of transformations of pant decompositions on a surface of genus zero with r boundary components, where r>2. The moves and the relations turn out to be supported in subsurfaces with r=4,5, illustrating in this way the so called Grothendieck principle.File in questo prodotto:
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