Results 61 to 70 of about 459 (91)

Higher categories, colimits, and the blob complex. [PDF]

Proc Natl Acad Sci U S A, 2011
Morrison S, Walker K.
europepmc   +1 more source

The Spin-Foam Approach to Quantum Gravity. [PDF]

Living Rev Relativ, 2013
Perez A.
europepmc   +1 more source

Invariants topologiques quantiques non semi-simples.

, 2012
Invariants topologiques quantiques non semi-simples. La théorie des nœuds (courbes simples plongées dans R³, à déformation continue près) se développe au début du XXième siècle avec notamment les travaux d'Alexander et de Reidemeister.
Patureau-Mirand, Bertrand
core   +1 more source

Turaev-Viro theory as an extended TQFT

192 pg.In recent years, the application of quantum groups to the study of low-dimensional topology has become an active topic of research. In three-dimensions, these yield the well-known Reshetihkin-Turaev (RT) invariants, which are a mathematical ...
Balsam, Benjamin
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Relative Reshetikhin-Turaev invariants, hyperbolic cone metrics and discrete Fourier transforms I

, 2020
We propose the Volume Conjecture for the relative Reshetikhin-Turaev invariants of a closed oriented $3$-manifold with a colored framed link inside it whose asymptotic behavior is related to the volume and the Chern-Simons invariant of the hyperbolic ...
Wong, Ka Ho, Yang, Tian
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Ẑ invariants at rational τ [PDF]

, 2019
Ẑ invariants of 3-manifolds were introduced as series in q = e^(2πiτ) in order to categorify Witten-Reshetikhin-Turaev invariants corresponding to τ = 1/k. However modularity properties suggest that all roots of unity are on the same footing.
Kucharski, Piotr
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Recent progress of various Volume Conjectures for links as well as 3-manifolds (Intelligence of Low-dimensional Topology) [PDF]

, 2017
This is a survey paper. It will report some progress towards various Volume Conjectures including the original one for the colored Jones polynomials of links, the Chen-Yang style ones for the Reshetikhin-Turaev invariants and the Turaev-Viro invariants ...
Chen, Qingtao
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CFT Correlators and Mapping Class Group Averages. [PDF]

Commun Math Phys
Romaidis I, Runkel I.
europepmc   +1 more source

Turaev--Viro invariants and profinite completions of surface bundles

We prove that the Turaev--Viro invariants of the two surface bundles over the circle coincide for every spherical fusion category if the surface group is procongruently conjugacy separable and there exists a regular profinite isomorphism between the fundamental groups.
openaire   +2 more sources

3d TQFTs and 3-manifold invariants

This is an invited contribution to the 2nd edition of the Encyclopedia of Mathematical Physics. We give an overview of 3-dimensional topological quantum field theories (TQFTs) and the corresponding quantum invariants of 3-manifolds.
Sozer, Kursat, Virelizier, Alexis
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