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Experimental Mathematics Volume 25, 2016 - Issue 1
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Original Articles

Verified Computations for Hyperbolic 3-Manifolds

Neil HoffmanSchool of Mathematics and Statistics, University of Melbourne, Parkville, VICAustraliaCorrespondence[email protected]
,
Kazuhiro IchiharaCollege of Humanities and Sciences, Nihon University, Tokyo, Japan
,
Masahide KashiwagiDepartment of Applied Mathematics, Waseda University, Tokyo, Japan
,
Hidetoshi MasaiGraduate School of Mathematical Sciences, The University of Tokyo, Tokyo, Japan
,
Shin’ichi OishiDepartment of Applied Mathematics, Waseda University, Tokyo, Japan
&
Akitoshi TakayasuDepartment of Applied Mathematics, Waseda University, Tokyo, Japan
Pages 66-78 | Published online: 09 Oct 2015

Citations (13)

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William Worden. (2020) Experimental Statistics of Veering Triangulations. Experimental Mathematics 29:1, pages 101-122.
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Articles from other publishers (12)

Dave Auckly, Hee Jung Kim, Paul Melvin & Daniel Ruberman. (2023) Equivariant hyperbolization of 3-manifolds via homology cobordisms. Topology and its Applications 333, pages 108485.
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Kazuhiro Ichihara, Tetsuya Ito & Toshio Saito. (2022) On constraints for knots to admit chirally cosmetic surgeries and their calculations. Pacific Journal of Mathematics 321:1, pages 167-191.
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David Futer, Emily Hamilton & Neil R. Hoffman. (2022) Infinitely many virtual geometric triangulations. Journal of Topology 15:4, pages 2352-2388.
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Matthias Goerner. (2020) Verified computations for closed hyperbolic 3‐manifolds. Bulletin of the London Mathematical Society 53:2, pages 596-618.
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Nathan M Dunfield. (2020) Floer homology, group orderability, and taut foliations of hyperbolic 3–manifolds. Geometry & Topology 24:4, pages 2075-2125.
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Alex Casella, Charles Katerba & Stephan Tillmann. (2020) Ideal points of character varieties, algebraic non-integral representations, and undetected closed essential surfaces in 3–manifolds. Proceedings of the American Mathematical Society 148:5, pages 2257-2271.
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Luisa Paoluzzi & Makoto Sakuma. (2019) Prime amphicheiral knots with free period 2. Proceedings of the Edinburgh Mathematical Society 63:1, pages 105-138.
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Makoto Sakuma. 2020. In the Tradition of Thurston. In the Tradition of Thurston 67 160 .
Maria Trnková. (2019) Rigorous computations with an approximate Dirichlet domain. Topology and its Applications 268, pages 106900.
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Mark BellJoel HassJoachim Hyam RubinsteinStephan Tillmann. (2018) Computing trisections of 4-manifolds. Proceedings of the National Academy of Sciences 115:43, pages 10901-10907.
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Jeffrey F. Brock & Nathan M. Dunfield. (2017) Norms on the cohomology of hyperbolic 3-manifolds. Inventiones mathematicae 210:2, pages 531-558.
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Nathan M. Dunfield. (2016) A knot without a nonorientable essential spanning surface. Illinois Journal of Mathematics 60:1.
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