Results 31 to 40 of about 357 (103)
Colored Turaev–Viro invariants of twist knots
Topology and its Applications, 2009 This paper presents formulae for the colored Turaev-Viro invariants [introduced by \textit{J. Barrett, J. Martins} and \textit{J. García-Islas}, J. Math. Phys. 48, No.~9, 093508, 18~p. (2007; Zbl 1152.81328)] of twist knots. These formulae are obtained by a fairly lengthy computation which uses the description of the colored Turaev-Viro invariants as a
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Periods, the meromorphic 3D-index and the Turaev-Viro invariant
Communications in Number Theory and PhysicsThe 3D-index of Dimofte-Gaiotto-Gukov is an interesting collection of $q$-series with integer coefficients parametrised by a pair of integers and associated to a 3-manifold with torus boundary. In this note, we explain the structure of the asymptotic expansions of the 3D-index when $q=e^{2πiτ}$ and $τ$ tends to zero (to all orders and with ...
Garoufalidis, Stavros, Wheeler, Campbell
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Generalized Abelian Turaev-Viro and $\mathrm{U}\!\left(1\right)$ BF Theories
, 2023 International audienceWe explain how it is possible to study $\mathrm{U}\!\left(1\right)$ BF theory over a connected closed oriented smooth $3$-manifold in the formalism of path integral thanks to Deligne-Beilinson cohomology.
Thuillier, Frank +2 more
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On Roberts' proof of the Turaev-Walker theorem
, 1996 In this paper we discuss the beautiful idea of Justin Roberts [7] (see also [8]) to re-obtain the Turaev-Viro invariants [11] via skein theory, and re-prove elementarily the Turaev-Walker theorem [9], [10], [13]. We do this by exploiting the presentation
Benedetti R., Petronio C.
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, 2022 International audienceIn this first of a series of articles dedicated to natural extensions of the U(1) BF theory, abelian Turaev-Viro (TV) construction and corresponding Drinfeld center construction for any closed oriented smooth manifolds, we present ...
Thuillier, Frank +2 more
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Oscillating mushrooms : adiabatic theory for a non-ergodic system [PDF]
, 2014 Can elliptic islands contribute to sustained energy growth as parameters of a Hamiltonian system slowly vary with time? In this paper we show that a mushroom billiard with a periodically oscillating boundary accelerates the particle inside it ...
Turaev, D +5 more
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Gromov norm and Turaev-Viro invariants of 3-manifolds
Annales scientifiques de l'École normale supérieure, 2020 28 pages, no figures: Miinor revisions. Ann. Sci. Ecole Norm.
Detcherry, Renaud +1 more
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Admissible colourings of 3-manifold triangulations for Turaev-Viro type invariants
CoRR, 2015 Turaev Viro invariants are amongst the most powerful tools to distinguish 3-manifolds: They are implemented in mathematical software, and allow practical computations. The invariants can be computed purely combinatorially by enumerating colourings on the edges of a triangulation T. These edge colourings can be interpreted as embeddings of surfaces in T.
Clément Maria, Jonathan Spreer
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A geometric description of the Reidemeister-Turaev torsion of 3-manifolds [PDF]
, 2021 本文ファイル差し替え（2021/8/3）本文ファイル(revision版)追加（2022/05/16）We give a relation between the Turaev-Reidemeister torsion and an invariant related to the Chern-Simons theory.
SHIMIZU, Tatsuro
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On the Polyak–Viro Vassiliev Invariant of Degree 4
, 2006 Using the Polyak–Viro Gauss diagram formula for the degree-4 Vassiliev invariant, we extend some previous results on positive knots and the non-triviality of the Jones polynomial of untwisted Whitehead doubles.
A. Stoimenow
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