Results 71 to 80 of about 357 (103)
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
Isotopy Invaraints of Immersed surfaces in a 4-manifold
, 2011 In this this dissertation we introduce an isotopy invariant of generically immersed surfaces in some 4-manifold. The construction is based on Khovanov homology and its variants in the same way as the construction of Turaev-Viro module of a 3-manifold ...
Weng, Luoying
core
The quantum G_2 link invariant
, 1991 We derive an inductive, combinatorial definition of a polynomial-valued regular isotopy invariant of links and tangled graphs. We show that the invariant equals the Reshetikhin-Turaev invariant corresponding to the exceptional simple ...
Kuperberg, Greg
core
Turaev-Viro's Invariant and 3-dimensional Gravity
Soryushiron Kenkyu Electronics, 1992 openaire +1 more source
Turaev–Viro invariant and 3nj symbols [PDF]
Journal of Mathematical Physics, 2000 We propose in this work a new method to construct the Turaev–Viro state sums, using a diagrammatic presentation describing surgery operation as Heegaard splittings. The resulting invariants can be connected with suitable 3nj symbols, and we evaluate them for the lens spaces.
Gaspare Carbone
exaly +4 more sources
Quantum computation with Turaev–Viro codes
Annals of Physics, 2010 For a 3-manifold with triangulated boundary, the Turaev–Viro topological invariant can be interpreted as a quantum error-correcting code. The code has local stabilizers, identified by Levin and Wen, on a qudit lattice.
Greg Kuperberg
exaly +2 more sources