Zobrazeno 1 - 10
of 488
pro vyhledávání: '"Costantino Francesco"'
Autor:
Ketema, Baalu Belay, Bousquet, Nicolas, Costantino, Francesco, Gamboa, Fabrice, Iooss, Bertrand, Sueur, Roman
Input variables in numerical models are often subject to several levels of uncertainty, usually modeled by probability distributions. In the context of uncertainty quantification applied to these models, studying the robustness of output quantities w
Externí odkaz:
http://arxiv.org/abs/2407.21542
We construct three dimensional non-semisimple topological field theories from the unrolled quantum group of the Lie superalgebra $\mathfrak{osp}(1 \vert 2)$. More precisely, the quantum group depends on a root of unity $q=e^{\frac{2 \pi \sqrt{-1}}{r}
Externí odkaz:
http://arxiv.org/abs/2407.12181
Real 3-manifold triangulations can be uniquely represented by isomorphism signatures. Databases of these isomorphism signatures are generated for a variety of 3-manifolds and knot complements, using SnapPy and Regina, then these language-like inputs
Externí odkaz:
http://arxiv.org/abs/2405.09610
Using skein theory very much in the spirit of the Reshetikhin--Turaev constructions, we define a $(3+1)$-TQFT associated with possibly non-semisimple finite unimodular ribbon tensor categories. State spaces are given by admissible skein modules, and
Externí odkaz:
http://arxiv.org/abs/2306.03225
Chromatic maps for spherical tensor categories are instrumental tools to construct (non semisimple) invariants of 3-manifolds and their extension to (non compact) (2+1)-TQFTs. In this paper, we introduce left and right chromatic maps for finite tenso
Externí odkaz:
http://arxiv.org/abs/2305.14626
This paper contains three related groupings of results. First, we consider a new notion of an admissible skein module of a surface associated to an ideal in a (non-semisimple) pivotal category. Second, we introduce the notion of a chromatic category
Externí odkaz:
http://arxiv.org/abs/2302.04509
In this paper we introduce the notion of admissible skein modules associated to an ideal in a pivotal category. We explain how these modules are generalizations of the Kauffman skein algebra and how they relate to renormalized quantum invariants comi
Externí odkaz:
http://arxiv.org/abs/2302.04493
Autor:
Costantino, Francesco, Le, Thang T. Q.
We study the behaviour of the Kauffman bracket skein modules of 3-manifolds under gluing along surfaces. For this purpose we extend the notion of Kauffman bracket skein modules to $3$-manifolds with marking consisting of open intervals and circles in
Externí odkaz:
http://arxiv.org/abs/2206.10906
Autor:
Bernabei, Margherita1 (AUTHOR) margherita.bernabei@uniroma1.it, Costantino, Francesco2 (AUTHOR), Tronci, Massimo1 (AUTHOR)
Publikováno v:
Journal of Industrial Integration & Management. Aug2024, p1-47. 47p. 19 Illustrations.
Publikováno v:
In Robotics and Computer-Integrated Manufacturing August 2024 88