Results 41 to 50 of about 357 (103)
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
Generalized Abelian Turaev–Viro and U(1) BF theories
We explain how it is possible to study U(1) 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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Using the Reshetikhin-Turaev Link Invariant Approach with Non-Semisimple Categories
, 2022 Invariants of knots and links are useful because they give rise to invariants of 3-manifolds. In particular, combinatorial link invariants give rise to combinatorial invariants of 3-manifolds, which are hard to come by using traditional methods from ...
Robertson, Adam
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Turaev genus, knot signature, and the knot homology concordance invariants
, 2010 We give bounds on knot signature, the Ozsv́ath-Szabó t invariant, and the Rasmussen s invariant in terms of the Turaev genus of the knot.
Oliver T. Dasbach +3 more
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The Witten-Reshetikhin-Turaev invariant for links in finite order mapping tori I [PDF]
, 2017 We state Asymptotic Expansion and Growth Rate conjectures for the Witten-Reshetikhin-Turaev invariants of arbitrary framed links in 3-manifolds, and we prove these conjectures for the natural links in mapping tori of finite-order automorphisms of marked ...
McLellan, Brendan, +9 more
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A non-commutative Reidemeister-Turaev torsion of homology cylinders
, 2023 We compute the Reidemeister-Turaev torsion of homology cylinders which takes values in the $K_1$-group of the $I$-adic completion of the group ring $\mathbb{Q}\pi_1\Sigma_{g,1}$, and prove that its reduction to $\widehat{\mathbb{Q}\pi_1\Sigma_{g,1}}/\hat{
Nozaki, Yuta +2 more
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Invariants quantiques en dimension 3 et 4, TQFTs et HQFTs
, 2007 This thesis is devoted to the study of some quantum invariants of 3-manifolds and 4-manifolds as well as their associated TQFTs and HQFTs. We establish that for all spherical category $\C$, the Turaev-Viro TQFT comes from a 1+2 dimensional HQFT which has
Petit, Jérôme
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q-series coming from extending Turaev-Viro into the unit disk
, 2018 The Turaev-Viro invariant is a 3-manifold invariant (TQFT) defined at roots of unity q using a handle decomposition. Following Frohman and Kania Bartoszynska we consider extending the variable q into the unit disk.
van der Veen, Roland
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3-dimensional Gravity from the Turaev-Viro Invariant
, 1991 We study the $q$-deformed su(2) spin network as a 3-dimensional quantum gravity model. We show that in the semiclassical continuum limit the Turaev-Viro invariant obtained recently defines naturally regularized path-integral $\grave{\rm a}$ la Ponzano-Regge, In which a contribution from the cosmological term is effectively included.
Mizoguchi, Shun'ya, Tada, Tsukasa
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On The Computation Of The Turaev-Viro Module Of A Knot
, 2007 Let M be the manifold obtained by 0-framed surgery along a knot K in the 3-sphere. A Topological Quantum Field Theory assigns to a fundamental domain of the universal abelian cover of M an operator, whose non-nilpotent part is the Turaev-Viro module of K.
H. Abchir, C. Blanchet
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