Zobrazeno 1 - 10
of 596
pro vyhledávání: '"Murakami, Jun"'
Autor:
Murakami, Jun, van der Veen, Roland
The theory of bottom tangles is used to construct a quantum fundamental group. On the other hand, the skein module is considered as a quantum analogue of the $SL(2)$ representation of the fundamental group. Here we construct the skein module of a kno
Externí odkaz:
http://arxiv.org/abs/2402.06891
Autor:
Korinman, Julien, Murakami, Jun
We relate the Kauffman bracket stated skein modules to two independent constructions of quantum representation spaces of Habiro and Van der Veen with the second author. We deduce from this relation a description of the classical limit of stated skein
Externí odkaz:
http://arxiv.org/abs/2211.04252
Autor:
De Renzi, Marco, Murakami, Jun
Publikováno v:
Quantum Topol. 13 (2022), no. 2, 255-333
We recover the family of non-semisimple quantum invariants of closed oriented 3-manifolds associated with the small quantum group of $\mathfrak{sl}_2$ using purely combinatorial methods based on Temperley-Lieb algebras and Kauffman bracket polynomial
Externí odkaz:
http://arxiv.org/abs/2007.10831
Publikováno v:
Transform. Groups 27 (2022), no. 3, 751-795
We provide a combinatorial description of the monoidal category generated by the fundamental representation of the small quantum group of $\mathfrak{sl}_2$ at a root of unity $q$ of odd order. Our approach is diagrammatic, and it relies on an extensi
Externí odkaz:
http://arxiv.org/abs/1910.12427
Autor:
Murakami, Jun, van der Veen, Roland
We propose a new non-commutative generalization of the representation variety and the character variety of a knot group. Our strategy is to reformulate the construction of the algebra of functions on the space of representations in terms of Hopf alge
Externí odkaz:
http://arxiv.org/abs/1812.09539
Autor:
Ohta, Kento, Okanishi, Tohru, Sasaki, Michiru, Kawaguchi, Tatsuya, Murakami, Jun, Maegaki, Yoshihiro
Publikováno v:
In Brain and Development February 2023 45(2):126-133
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Akademický článek
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Autor:
Chen, Qingtao, Murakami, Jun
Asymptotics of quantum $6j$ symbols corresponding to a hyperbolic tetrahedra is investigated and the first two leading terms are determined for the case that the tetrahedron has a ideal or ultra-ideal vertex. These terms are given by the volume and t
Externí odkaz:
http://arxiv.org/abs/1706.04887
Autor:
Kikuchi, Shohei, Nabe, Yoshimi, Horaguchi, Ryusuke, Minemura, Tomoki, Murakami, Jun, Noguchi, Akira, Takagi, Kohji, Kamihara, Yusuke, Wada, Akinori, Fujihira, Takuma, Sato, Tsutomu
Publikováno v:
International Cancer Conference Journal; Oct2024, Vol. 13 Issue 4, p488-492, 5p