Geometric triangulations and the Teichmüller TQFT volume conjecture for twist knots
| العنوان: | Geometric triangulations and the Teichmüller TQFT volume conjecture for twist knots |
|---|---|
| المؤلفون: | Ben Aribi, Fathi, Guéritaud, F., Piguet-Nakazawa, E. |
| المساهمون: | Laboratoire Paul Painlevé - UMR 8524 (LPP), Université de Lille-Centre National de la Recherche Scientifique (CNRS), Laboratoire Paul Painlevé (LPP), UCL - SST/IRMP - Institut de recherche en mathématique et physique |
| المصدر: | Quantum Topology, Vol. np, no. np, p. 88 (2022) |
| بيانات النشر: | HAL CCSD, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Mathematics::Category Theory, FOS: Mathematics, Geometric Topology (math.GT), Computer Science::Computational Geometry, 57M25, 57M27, 57M50, [MATH]Mathematics [math], Mathematics::Geometric Topology, Triangulations, twist knots, 3-manifolds, hyperbolic volume, Teichmüller TQFT, volume conjecture, saddle point method |
| الوصف: | We construct a new infinite family of ideal triangulations and H-triangulations for the complements of twist knots, using a method originating from Thurston. These triangulations provide a new upper bound for the Matveev complexity of twist knot complements. We then prove that these ideal triangulations are geometric. The proof uses techniques of Futer and the second author, which consist in studying the volume functional on the polyhedron of angle structures. Finally, we use these triangulations to compute explicitly the partition function of the Teichmüller TQFT and to prove the associated volume conjecture for all twist knots, using the saddle point method. v5: 91 pages, 25 figures. Final version, accepted in Quantum Topology. Since v4, minor corrections were done and we added Example 2.8 |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e28c54f1f154dbb78b6caa0b8d6975c3 https://hal-cnrs.archives-ouvertes.fr/hal-03103094 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....e28c54f1f154dbb78b6caa0b8d6975c3 |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |