Thaw: a tool for approximating cut loci on a triangulation of a surface.
Itoh, Jin-ichi, Sinclair, Robert (2004)
Experimental Mathematics
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Itoh, Jin-ichi, Sinclair, Robert (2004)
Experimental Mathematics
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Eugene Gutkin, Pascal Hubert, Thomas A. Schmidt (2003)
Annales scientifiques de l'École Normale Supérieure
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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...
Mark D. Baker (1996)
Annales de l'institut Fourier
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Let be a compact, orientable, irreducible 3-manifold with a torus. We show that there can be infinitely many slopes on realized by the boundary curves of immersed, incompressible, - incompressible surfaces in which are embedded in a neighborhood of .
Alex Eskin, Howard Masur, Anton Zorich (2003)
Publications Mathématiques de l'IHÉS
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A holomorphic 1-form on a compact Riemann surface S naturally defines a flat metric on S with cone-type singularities. We present the following surprising phenomenon: having found a geodesic segment (saddle connection) joining a pair of conical points one can find with a nonzero probability another saddle connection on S having the same direction and the same length as the initial one. A similar phenomenon is valid for the families of parallel closed geodesics. We give a complete description...
Hoffman, David, Wei, Fusheng (2002)
Experimental Mathematics
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Robert Connelly (1977)
Publications Mathématiques de l'IHÉS
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J. Carter, Masahico Saito (1998)
Banach Center Publications
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A necessary and sufficient condition for an immersed surface in 3-space to be lifted to an embedding in 4-space is given in terms of colorings of the preimage of the double point set. Giller's example and two new examples of non-liftable generic surfaces in 3-space are presented. One of these examples has branch points. The other is based on a construction similar to the construction of Giller's example in which the orientation double cover of a surface with odd Euler characteristic...