Results 51 to 60 of about 459 (91)

Homologically trivial part of the Turaev-Viro invariant order 7

, 2022
This is a translation into English of the paper published in Siberian Electronic Mathematical Reports, 2022, Vol.
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Modified quantum dimensions and re-normalized link invariants

, 2009
16 pagesInternational audienceIn this paper we give a re-normalization of the Reshetikhin-Turaev quantum invariants of links, by modified quantum dimensions.
Turaev, Vladimir, Geer, Nathan, Patureau-Mirand, Bertrand   +2 more
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Asymptotic behavior of quantum invariants [PDF]

, 2020
In this thesis we address the problem of the rate of growth of quantum invariants, specifically the Turaev-Viro invariants of compact manifolds and the related Yokota invariants for embedded graphs.
BELLETTI, GIULIO
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Colored Turaev-Viro invariants of twist knots

Colored Turaev-Viro invariants of twist knots
identifier:oai:t2r2.star.titech.ac.jp ...
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(2+1)-dimensional topological quantum field theory from subfactors and Dehn surgery formula for 3-manifold invariants

, 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, Wakui, Michihisa, Sato, Nobuya   +2 more
core   +1 more source

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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String-net model of Turaev-Viro invariants

, 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

3-Alterfolds and Quantum Invariants

, 2023
In this paper, we introduce the concept of 3-alterfolds with embedded separating surfaces. When the separating surface is decorated by a spherical fusion category, we obtain quantum invariants of 3-alterfold, which is consistent with many topological ...
Wang, Yilong, Wu, Jinsong, Ming, Shuang, Liu, Zhengwei   +3 more
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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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Homological blocks with simple Lie algebras and Witten--Reshetikhin--Turaev invariants

, 2023
In this article, for any Seifert fibered homology 3-sphere, we introduce homological blocks with simple Lie algebra and prove that its radial limits are identified with the Witten--Reshetikhin--Turaev invariants.
Murakami, Yuya, Terashima, Yuji
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