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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Gareth A. Jones (1997)
Mathematica Slovaca
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Aigon-Dupuy, Aline (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Komori, Yohei, Sugawa, Toshiyuki, Wada, Masaaki, Yamashita, Yasushi (2006)
Experimental Mathematics
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Leininger, Christopher J. (2004)
Geometry & Topology
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Brendle, Tara E., Margalit, Dan (2004)
Geometry & Topology
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Pascal Hubert, Thomas A. Schmidt (2001)
Annales de l’institut Fourier
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We definite invariants of translation surfaces which refine Veech groups. These aid in exact determination of Veech groups. We give examples where two surfaces of isomorphic Veech group cannot even share a common tree of balanced affine coverings. We also show that there exist translation surfaces of isomorphic Veech groups which cannot affinely cover any common surface. We also extend a result of Gutkin and Judge and thereby give the first examples of noncompact...
Frank Herrlich (1983-1984)
Groupe de travail d'analyse ultramétrique
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David Singerman (1988)
Revista Matemática de la Universidad Complutense de Madrid
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All maps of type (m,n) are covered by a universal map M(m,n) which lies on one of the three simply connected Riemann surfaces; in fact M(m,n) covers all maps of type (r,s) where r|m and s|n. In this paper we construct a tessellation M which is universal for all maps on all surfaces. We also consider the tessellation M(8,3) which covers all triangular maps. This coincides with the well-known Farey tessellation and we find many connections between M(8,3) and M.
Benoît Bertrand, Erwan Brugallé, Grigory Mikhalkin (2011)
Rendiconti del Seminario Matematico della Università di Padova
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