Zobrazeno 1 - 10
of 49
pro vyhledávání: '"David Futer"'
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
https://doi.org/10.4171/cmh/536
We prove that every cusped hyperbolic 3-manifold has a finite cover admitting infinitely many geometric ideal triangulations. Furthermore, every long Dehn filling of one cusp in this cover admits infinitely many geometric ideal triangulations. This c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59b00fafe360e8bfafd3b34bf74b099d
http://arxiv.org/abs/2102.12524
http://arxiv.org/abs/2102.12524
Autor:
Christian Millichap, David Futer
Publikováno v:
Proceedings of the London Mathematical Society. 115:411-447
Reid has asked whether hyperbolic manifolds with the same geodesic length spectrum must be commensurable. Building toward a negative answer to this question, we construct examples of hyperbolic 3-manifolds that share an arbitrarily large portion of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9e2be3ec744ecbdd0c8d141575b2635
https://doi.org/10.1112/plms.12045
https://doi.org/10.1112/plms.12045
Autor:
Christopher K. Atkinson, David Futer
Publikováno v:
Transactions of the American Mathematical Society. 369:5809-5827
For each natural number n >= 4, we determine the unique lowest volume hyperbolic 3-orbifold whose torsion orders are bounded below by n. This lowest volume orbifold has base space the 3-sphere and singular locus the figure-8 knot, marked n. We apply
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8980b436968a27333fb3bcb6baffcd3e
https://doi.org/10.1090/tran/6920
https://doi.org/10.1090/tran/6920
Publikováno v:
Knots, Low-Dimensional Topology and Applications ISBN: 9783030160302
We survey some tools and techniques for determining geometric properties of a link complement from a link diagram. In particular, we survey the tools used to estimate geometric invariants in terms of basic diagrammatic link invariants. We focus on de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::30a9b9b5e17006ade72598c4a2dc3955
https://doi.org/10.1007/978-3-030-16031-9_1
https://doi.org/10.1007/978-3-030-16031-9_1
Autor:
Daryl Cooper, David Futer
Publikováno v:
Geom. Topol. 23, no. 1 (2019), 241-298
This paper proves that every finite volume hyperbolic 3-manifold M contains a ubiquitous collection of closed, immersed, quasi-Fuchsian surfaces. These surfaces are ubiquitous in the sense that their preimages in the universal cover separate any pair
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::88b91776cf0ece037e7e21e7cc1b7315
https://projecteuclid.org/euclid.gt/1552356082
https://projecteuclid.org/euclid.gt/1552356082
Every pseudo-Anosov mapping class $\varphi$ defines an associated veering triangulation $\tau_\varphi$ of a punctured mapping torus. We show that generically, $\tau_\varphi$ is not geometric. Here, the word "generic" can be taken either with respect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d17791ede5e43c424731b807e839eea
http://arxiv.org/abs/1808.05586
http://arxiv.org/abs/1808.05586
Publikováno v:
Mathematical Proceedings
Mathematical Proceedings, Cambridge University Press (CUP), 2018, pp.1-26
Mathematical Proceedings, Cambridge University Press (CUP), 2018, pp.1-26
We prove that non-elementary hyperbolic groups grow exponentially more quickly than their infinite index quasiconvex subgroups. The proof uses the classical tools of automatic structures and Perron-Frobenius theory. We also extend the main result to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a280b51d8ca19d86c1ae4583821bf55e
https://hal.archives-ouvertes.fr/hal-01986976
https://hal.archives-ouvertes.fr/hal-01986976
We give sharp, effective bounds on the distance between tori of fixed injectivity radius inside a Margulis tube in a hyperbolic 3-manifold.
Comment: 25 pages, 3 figures. v3 contains minor revisions. To appear in Transactions of the AMS
Comment: 25 pages, 3 figures. v3 contains minor revisions. To appear in Transactions of the AMS
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a9ad9ce820c115f2c7511e4248e2444e
Autor:
David Futer, Anne Thomas
Publikováno v:
International Mathematics Research Notices. 2012:437-477
Let I(p,v) be Bourdon's building, the unique simply-connected 2-complex such that all 2-cells are regular right-angled hyperbolic p-gons and the link at each vertex is the complete bipartite graph K(v,v). We investigate and mostly determine the set o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e6b38d968a8280125858b00b84abd77
https://doi.org/10.1093/imrn/rnr028
https://doi.org/10.1093/imrn/rnr028