Zobrazeno 1 - 10 of 48 pro vyhledávání: '"Saul Schleimer"'
2
Effective drilling and filling of tame hyperbolic 3-manifolds
Autor: David Futer, Jessica Purcell, Saul Schleimer
Publikováno v: Commentarii Mathematici Helvetici. 97:457-512
We give effective bilipschitz bounds on the change in metric between thick parts of a cusped hyperbolic 3-manifold and its long Dehn fillings. In the thin parts of the manifold, we give effective bounds on the change in complex length of a short clos
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c196e3977a4aed0a3034b5038122891b
https://doi.org/10.4171/cmh/536
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6
Hard Diagrams of the Unknot
Autor: Benjamin A. Burton, Hsien-Chih Chang, Maarten Löffler, Clément Maria, Arnaud de Mesmay, Saul Schleimer, Eric Sedgwick, Jonathan Spreer
We present three "hard" diagrams of the unknot. They require (at least) three extra crossings before they can be simplified to the trivial unknot diagram via Reidemeister moves in $\mathbb{S}^2$. Both examples are constructed by applying previously p
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::895c2831a3b913c861fa45b6497de8af
http://arxiv.org/abs/2104.14076
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7
Slow north-south dynamics on $\mathcal {PML}$
Autor: Mark Bell, Saul Schleimer
Publikováno v: Groups, Geometry, and Dynamics. 11:1103-1112
We consider the action of a pseudo-Anosov mapping class on PML(S). This action has north-south dynamics and so, under iteration, laminations converge exponentially to the stable lamination. We study the rate of this convergence and give examples of f
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a8e962980f08f854994043dc9da28f17
https://doi.org/10.4171/ggd/423
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8
Essential loops in taut ideal triangulations
Autor: Saul Schleimer, Henry Segerman
In this note we combinatorialise a technique of Novikov. We use this to prove that, in a three-manifold equipped with a taut ideal triangulation, any vertical or normal loop is essential in the fundamental group.
15 pages, 10 figures and tables.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d19c059facbae51d94f54b783fc3ab2
http://arxiv.org/abs/1902.03206
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9
Garside theory and subsurfaces: some examples in braid groups
Autor: Bert Wiest, Saul Schleimer
Publikováno v: Groups-Complexity-Cryptology
Groups-Complexity-Cryptology, De Gruyter, 2019, 11 (2), pp.61-75. ⟨10.1515/gcc-2019-2007⟩
journal of Groups, Complexity, Cryptology
journal of Groups, Complexity, Cryptology, 2019, 11 (2), pp.61-75. ⟨10.1515/gcc-2019-2007⟩
Garside-theoretical solutions to the conjugacy problem in braid groups depend on the determination of a characteristic subset of the conjugacy class of any given braid, e.g. the sliding circuit set. It is conjectured that, among rigid braids with a f
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::205e8675e7ba35a51423538c67c8cc4f
http://arxiv.org/abs/1807.01500
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10
Groups whose word problems are not semilinear
Autor: Robert Kropholler, Saul Schleimer, Robert H. Gilman
Suppose that G is a finitely generated group and {\operatorname{WP}(G)} is the formal language of words defining the identity in G. We prove that if G is a virtually nilpotent group that is not virtually abelian, the fundamental group of a finite vol
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1623a7116139821159aa0582d9082ac9
http://arxiv.org/abs/1804.09609
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