Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Craig D. Hodgson"'
Publikováno v:
Annales de la Faculté des sciences de Toulouse : Mathématiques. 24:1103-1145
We define essential and strongly essential triangulations of 3-manifolds, and give four constructions using different tools (Heegaard splittings, hierarchies of Haken 3-manifolds, Epstein-Penner decompositions, and cut loci of Riemannian manifolds) t
Publikováno v:
Illinois J. Math. 60, no. 1 (2016), 289-352
Dimofte, Gaiotto and Gukov introduced a powerful invariant, the 3D-index, associated to a suitable ideal triangulation of a 3-manifold with torus boundary components. The 3D-index is a collection of formal power series in $q^{1/2}$ with integer coeff
Publikováno v:
Experiment. Math. 17, iss. 3 (2008), 283-306
This paper describes a general algorithm for finding the commensurator of a non-arithmetic cusped hyperbolic manifold, and for deciding when two such manifolds are commensurable. The method is based on some elementary observations regarding horospher
Publikováno v:
Geom. Topol. 19, no. 5 (2015), 2619-2689
In this paper we will promote the 3D index of an ideal triangulation T of an oriented cusped 3-manifold M (a collection of q-series with integer coefficients, introduced by Dimofte-Gaiotto-Gukov) to a topological invariant of oriented cusped hyperbol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::26aa95c0ac9268aa77296aefcb87d682
https://projecteuclid.org/euclid.gt/1510858846
https://projecteuclid.org/euclid.gt/1510858846
This book contains the proceedings of the conference Geometry & Topology Down Under, held July 11–22, 2011, at the University of Melbourne, Parkville, Australia, in honour of Hyam Rubinstein. The main topic of the book is low-dimensional geometry a
Autor:
Steven A. Bleiler, Craig D. Hodgson
Publikováno v:
Knots 90: Proceedings of the International Conference on Knot Theory and Related Topics held in Osaka (Japan), August 15-19, 1990
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53f86349b17e5ef8a8412c3d7094e7f4
https://doi.org/10.1515/9783110875911.425
https://doi.org/10.1515/9783110875911.425
Recently, Ian Agol introduced a class of “veering” ideal triangulations for mapping tori of pseudo-Anosov homeomorphisms of surfaces punctured along the singular points. These triangulations have very special combinatorial properties, and Agol as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f327b11850d94ccf994e7852b4c1deab
Autor:
Jeffrey R. Weeks, Craig D. Hodgson
Publikováno v:
Experiment. Math. 3, iss. 4 (1994), 261-274
Previously known algorithms to compute the symmetry group of a cusped hyperbolic three-manifold and to test whether two cusped hyperbolic three-manifolds are isometric do not apply directly to closed manifolds. But by drilling out geodesics from clos
It is conjectured that every cusped hyperbolic 3-manifold has a decomposition into positive volume ideal hyperbolic tetrahedra (a "geometric" triangulation of the manifold). Under a mild homology assumption on the manifold we construct topological id
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ffee47c99429107fcb8b0248996587fd
Autor:
Igor Rivin, Craig D. Hodgson
Publikováno v:
Inventiones Mathematicae. 111:77-111
In this paper we study the extrinsic geometry of convex polyhedral surfaces in three-dimensional hyperbolic spaceH 3. We obtain a number of new uniqueness results, and also obtain a characterization of the shapes of convex polyhedra inH 3 in terms of