Results 41 to 50 of about 1,522 (82)

On Colored Turaev-Viro Invariants for Links in Arbitrary 3-Manifolds [PDF]

International Mathematics Research Notices, 2009
40 pages, 23 ...
PERVOVA, EKATERINA, PETRONIO, CARLO
openaire   +3 more sources

Topological invariants from non-restricted quantum groups

, 2013
We introduce the notion of a relative spherical category. We prove that such a category gives rise to the generalized Kashaev and Turaev-Viro-type 3-manifold invariants defined in arXiv:1008.3103 and arXiv:0910.1624, respectively.
Bertrand Patureau-Mirand, De Concini, De Concini, Geer, Nathan Geer, Neumann, Turaev   +6 more
core   +3 more sources

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, Kalfagianni, Efstratia   +1 more
openaire   +3 more sources

Quantum Tetrahedra

, 2009
We discuss in details the role of Wigner 6j symbol as the basic building block unifying such different fields as state sum models for quantum geometry, topological quantum field theory, statistical lattice models and quantum computing.
Carfora, Mauro, Marzuoli, Annalisa, Rasetti, Mario   +2 more
core   +1 more source

A Model of Three-Dimensional Lattice Gravity

, 1992
A model is proposed which generates all oriented $3d$ simplicial complexes weighted with an invariant associated with a topological lattice gauge theory.
Kopenhagen Ø Denmark, Service Physique, Théorique Saclay   +2 more
core   +2 more sources

Canonical ``Loop'' Quantum Gravity and Spin Foam Models [PDF]

, 1999
The canonical ``loop'' formulation of quantum gravity is a mathematically well defined, background independent, non perturbative standard quantization of Einstein's theory of General Relativity. Some among the most meaningful results of the theory are: 1)
De Pietri, R.
core   +1 more source

Turaev-Viro invariants as an extended TQFT II

, 2010
In this paper, we present the next step in the proof that $Z_{TV,\C} = Z_{RT, Z(\C)}$, namely that the theories give the same 3-manifold invariants. In future papers we will show that this equality extends to an equivalence of TQFTs.
openaire   +3 more sources

Periods, the meromorphic 3D-index and the Turaev-Viro invariant

Communications in Number Theory and Physics
The 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
openaire   +2 more sources

Colored Turaev-Viro invariants of twist knots

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

Modified Turaev-Viro Invariants from quantum sl(2|1)

, 2017
The category of finite dimensional module over the quantum superalgebra U_q(sl(2|1)) is not semi-simple and the quantum dimension of a generic U_q(sl(2|1))-module vanishes. This vanishing happens for any value of q (even when q is not a root of unity). These properties make it difficult to create a fusion or modular category.
Anghel, Cristina Ana-Maria, Geer, Nathan
openaire   +2 more sources