Finite presentations for the mapping class group via the ordered complex of curves.
Benvenuti, Silvia (2001)
Advances in Geometry
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Benvenuti, Silvia (2001)
Advances in Geometry
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Goda, Hiroshi, Teragaito, Masakazu (2005)
Algebraic & Geometric Topology
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Frediani, P. (2002)
Portugaliae Mathematica. Nova Série
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Loebl, Martin (2002)
The Electronic Journal of Combinatorics [electronic only]
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Felsner, Stefan (2004)
The Electronic Journal of Combinatorics [electronic only]
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Bronisław Wajnryb (1998)
Fundamenta Mathematicae
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Let B be a 3-dimensional handlebody of genus g. Let ℳ be the group of the isotopy classes of orientation preserving homeomorphisms of B. We construct a 2-dimensional simplicial complex X, connected and simply-connected, on which ℳ acts by simplicial transformations and has only a finite number of orbits. From this action we derive an explicit finite presentation of ℳ.
Crisp, John (2005)
Geometry & Topology
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Benoît Bertrand, Erwan Brugallé, Grigory Mikhalkin (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Malnič, A., Nedela, R. (1995)
Acta Mathematica Universitatis Comenianae. New Series
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Sandro Manfredini (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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In this paper we study generic coverings of branched over a curve s.t. the total space is a normal analytic surface, in terms of a graph representing the monodromy of the covering, called monodromy graph. A complete description of the monodromy graphs and of the local fundamental groups is found in case the branch curve is (with ) and the degree of the cover is equal to or .
Bouchet, André (1998)
The Electronic Journal of Combinatorics [electronic only]
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