Results 51 to 60 of about 357 (103)

Homologically trivial part of the Turaev-Viro invariant order 7

open access: yes, 2022
This is a translation into English of the paper published in Siberian Electronic Mathematical Reports, 2022, Vol.
openaire   +3 more sources

(2+1)-dimensional topological quantum field theory from subfactors and Dehn surgery formula for 3-manifold invariants

open access: yes, 2005
In this paper, we establish the general theory of (2+1)-dimensional topological quantum field theory (in short, TQFT) with a Verlinde basis. It is a consequence that we have a Dehn surgery formula for 3-manifold invariants for this kind of TQFT's.
Kawahigashi, Yasuyuki   +2 more
core   +1 more source

Colored Turaev-Viro invariants of twist knots

open access: yesColored Turaev-Viro invariants of twist knots
identifier:oai:t2r2.star.titech.ac.jp ...
  +5 more sources

On p-adic properties of the Witten-Reshetikhin-Turaev invariant

open access: yes, 2007
We prove the Lawrence conjecture about p-adic convergence of the series of Ohtskuki invariants of a rational homology sphere to its SO(3) Witten-Reshetikhin-Turaev invariant.
L. Rozansky
core  

Euler structures, the variety of representations and the Milnor-Turaev torsion

open access: yes, 2006
In this paper we extend, and Poincare dualize, the concept of Euler structures, introduced by Turaev for manifolds with vanishing Euler-Poincare characteristic, to arbitrary manifolds.
Haller, Stefan (Department of Mathematics, Faculty of Mathematics, University of Vienna)   +5 more
core   +1 more source

Théories des champs quantiques topologiques internes de type Reshetikhin-Turaev

open access: yes, 2016
A 3-dimensional topological quantum field theory (TQFT) is a symmetric monoidal functor from the category of 3-cobordisms to the category of vector spaces. Such TQFTs provide in particular numerical invariants of closed 3-manifolds and representations of
Lallouche, Mickaël
core   +1 more source

String-net model of Turaev-Viro invariants

open access: yes, 2011
In this paper, we describe the relation between the Turaev--Viro TQFT and the string-net space introduced in the papers of Levin and Wen. In particular, the case of surfaces with boundary is considered in detail.
openaire   +2 more sources

Internal Reshetikhin-Turaev Topological Quantum Field Theories

open access: yes, 2016
Une théorie des champs quantique topologique (TQFT) en dimension 3 est un foncteur monoidal symétrique de la catégorie des cobordismes de dimension 3 vers celle des espaces vectoriels.
Lallouche, Mickaël
core  

The Turaev-Viro Invariants of All Orientable Closed Seifert Fibered Manifolds

open access: yesTokyo Journal of Mathematics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Observáveis de Holonomia para o Modelo de Turaev–Viro

open access: yes
This paper presents a study of holonomy observables for the Turaev–Viro model, a finite model of three-dimensional loop quantum gravity with a positive cosmological constant.
Silveira, Vinicius Medeiros Gomes da
core  

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