Ideal triangulations of 3-manifolds II; taut and angle structures.
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Kang, Ensil, Rubinstein, J.Hyam (2005)
Algebraic & Geometric Topology
Carlo Petronio (2000)
Bollettino dell'Unione Matematica Italiana
Quello delle triangolazioni geodetiche ideali è un metodo molto potente per costruire strutture iperboliche complete di volume finito su 3-varietà non compatte, ma non è noto se il metodo sia applicabile in generale. È tuttavia noto che esistono triangolazioni ideali parzialmente piatte, ma l'analisi della situazione diviene più ardua sotto diversi aspetti, quando si ha a che fare con tetraedri piatti oltre che veri tetraedri. In particolare, la topologia dello spazio di identificazione può degenerare,...
King, Simon A. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
Neumann, Walter D. (2001)
Algebraic & Geometric Topology
Reynaud, Eric (2003)
AMA. Algebra Montpellier Announcements [electronic only]
David Marín, Jean-François Mattei (2008)
Annales scientifiques de l'École Normale Supérieure
Nous considérons un germe de feuilletage holomorphe singulier non-dicritique défini sur une boule fermée , satisfaisant des hypothèses génériques, de courbe de séparatrice . Nous démontrons l’existence d’un voisinage ouvert de dans tel que, pour toute feuille de , l’inclusion naturelle induit un monomorphisme au niveau du groupe fondamental. Pour cela, nous introduisons la notion géométrique de « connexité feuilletée » avec laquelle nous réinterprétons la notion d’incompressibilité....
Robert M. Patton (1995)
Mathematische Annalen
Osamu Kakimizu (1992)
Mathematische Zeitschrift
A. Hatcher, W. Thurston (1985)
Inventiones mathematicae
Igusa, Kiyoshi, Kleber, Michael (2004)
Geometry & Topology
Graña, Matías (2004)
Beiträge zur Algebra und Geometrie
Braun, Benjamin (2011)
The Electronic Journal of Combinatorics [electronic only]
A. Connes (1984/1985)
Séminaire Bourbaki
Y. Carrière, F. Dal'bo, G. Meigniez (1993)
Mathematische Annalen
Livingston, Charles (2001)
Algebraic & Geometric Topology
De Wit, David, Ishii, Atsushi, Links, Jon (2005)
Algebraic & Geometric Topology
Dennis Sullivan (1977)
Publications Mathématiques de l'IHÉS
Gwénaël Massuyeau (2012)
Bulletin de la Société Mathématique de France
Let be a compact connected oriented surface with one boundary component, and let be the fundamental group of . The Johnson filtration is a decreasing sequence of subgroups of the Torelli group of , whose -th term consists of the self-homeomorphisms of that act trivially at the level of the -th nilpotent quotient of . Morita defined a homomorphism from the -th term of the Johnson filtration to the third homology group of the -th nilpotent quotient of . In this paper, we replace groups...
Godelle, Eddy (2002)
Algebraic & Geometric Topology
Ian Barnes, Kewei Zhang (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
In the shape from shading problem of computer vision one attempts to recover the three-dimensional shape of an object or landscape from the shading on a single image. Under the assumptions that the surface is dusty, distant, and illuminated only from above, the problem reduces to that of solving the eikonal equation |Du|=f on a domain in . Despite various existence and uniqueness theorems for smooth solutions, we show that this problem is unstable, which is catastrophic for general numerical algorithms. ...
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