Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Matthias Goerner"'
Publikováno v:
Experimental Mathematics. 31:1047-1085
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1bdc328fabc02e936db5926adcfff7c
https://doi.org/10.1080/10586458.2021.1994059
https://doi.org/10.1080/10586458.2021.1994059
Autor:
Matthias Goerner
Extending methods first used by Casson, we show how to verify a hyperbolic structure on a finite triangulation of a closed 3-manifold using interval arithmetic methods. A key ingredient is a new theoretical result (akin to a theorem by Neumann-Zagier
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e79f739a9681c69bdc20d128c60cc86
Publikováno v:
Journal of Algebra
Journal of Algebra, Elsevier, 2019, 528, pp.497-504. ⟨10.1016/j.jalgebra.2019.02.023⟩
Journal of Algebra, 2019, 528, pp.497-504. ⟨10.1016/j.jalgebra.2019.02.023⟩
Journal of Algebra, Elsevier, 2019, 528, pp.497-504. ⟨10.1016/j.jalgebra.2019.02.023⟩
Journal of Algebra, 2019, 528, pp.497-504. ⟨10.1016/j.jalgebra.2019.02.023⟩
We enumerate all the principal congruence link complements in $S^3$, there by answering a question of W. Thurston. Related articles: "Technical Report: All Principal Congruence Link Groups" (arXiv:1902.04722), "All Known Principal Congruence Links" (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66a5f16343e6b751ee30cfcd91019b64
https://hal.archives-ouvertes.fr/hal-02068252
https://hal.archives-ouvertes.fr/hal-02068252
'Mythos', als ein in der Gegenwart omnipräsenter Begriff, steht im Mittelpunkt des vorliegenden Tagungsbandes, der auf den Beiträgen der Tagung'Mythos und Wissen'des Masterstudiengangs'Geschichte als Wissenskultur'der RWTH Aachen University basiert
Autor:
Christian K. Zickert, Matthias Goerner
The Ptolemy variety for SL(2,C) is an invariant of a topological ideal triangulation of a compact 3-manifold M. It is closely related to Thurston's gluing equation variety. The Ptolemy variety maps naturally to the set of conjugacy classes of boundar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4cf5c4ab50bc04338a5b9f81ccbb8d66
http://arxiv.org/abs/1507.03238
http://arxiv.org/abs/1507.03238
We call a cusped hyperbolic 3-manifold tetrahedral if it can be decomposed into regular ideal tetrahedra. Following an earlier publication by three of the authors, we give a census of all tetrahedral manifolds and all of their combinatorial tetrahedr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48db54c8443b1fb246a1e1269e330b89
Publikováno v:
Algebr. Geom. Topol. 15, no. 1 (2015), 371-397
The Ptolemy coordinates for boundary-unipotent SL(n,C)-representations of a 3-manifold group were introduced in Garoufalidis-Thurston-Zickert inspired by the A-coordinates on higher Teichm\"{u}ller space due to Fock and Goncharov. In this paper, we d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5edb5d4044988dbf87fca1cf9f25e9a1
https://projecteuclid.org/euclid.agt/1510840915
https://projecteuclid.org/euclid.agt/1510840915
In a previous paper, we parametrized boundary-unipotent representations of a 3-manifold group into SL(n,C) using Ptolemy coordinates, which were inspired by A-coordinates on higher Teichm\"uller space due to Fock and Goncharov. In this paper, we para
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc0a286e5a022e71ee14cc19336cfca4
http://arxiv.org/abs/1207.6711
http://arxiv.org/abs/1207.6711