Two Generator Fuchsian Groups of Genus One.
Gerhard Rosenberger, Norman Purzitsky (1972)
Mathematische Zeitschrift
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Gerhard Rosenberger, Norman Purzitsky (1972)
Mathematische Zeitschrift
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Michael J. Hopkins, Mark A. Hovey (1992)
Mathematische Zeitschrift
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Jürgen Rathmann (1989)
Mathematische Zeitschrift
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Alberto Cavicchioli, Mauro Meschiari (1993)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Petroşanu, Dana-Mihaela (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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Gerhard Rosenberger, Norman Purzitsky (1973)
Mathematische Zeitschrift
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Sadok Kallel, Denis Sjerve (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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We investigate the action of the automorphism group of a closed Riemann surface of genus at least two on its set of theta characteristics (or spin structures). We give a characterization of those surfaces admitting a non-trivial automorphism fixing either all of the spin structures or just one. The case of hyperelliptic curves and of the Klein quartic are discussed in detail.
Shigeo Ozaki, Teiichi Higuchi (1969)
Mathematische Zeitschrift
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V. Schroeder (1986)
Mathematische Zeitschrift
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Martin Bendersky (1989)
Mathematische Zeitschrift
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Burak Ozbagci (2011)
Open Mathematics
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It is well-known that the Heegaard genus is additive under connected sum of 3-manifolds. We show that the Heegaard genus of contact 3-manifolds is not necessarily additive under contact connected sum. We also prove some basic properties of the contact genus (a.k.a. open book genus [Rubinstein J.H., Comparing open book and Heegaard decompositions of 3-manifolds, Turkish J. Math., 2003, 27(1), 189–196]) of 3-manifolds, and compute this invariant for some 3-manifolds.