Zobrazeno 1 - 10
of 115
pro vyhledávání: '"Terashima, Yuji"'
We consider the Burde--de Rham theorem for finitely presented pro-$p$ groups under the assumption that the total degrees of all relators are $0$. We also give some concrete examples including higher-dimensional cases under Iwasawa theoretic condition
Externí odkaz:
http://arxiv.org/abs/2408.01270
Autor:
Kodani, Hisatoshi, Terashima, Yuji
We give a generalization of Goncharov's Hodge correlator twistor connection. Our generalized version is a connection 1-form with values in a DG Lie algebra of uni-trivalent graphs which may have loops and satisfies some Maurer--Cartan equation. This
Externí odkaz:
http://arxiv.org/abs/2404.09488
We construct a new solution to the tetrahedron equation by further pursuing the quantum cluster algebra approach in our previous works. The key ingredients include a symmetric butterfly quiver attached to the wiring diagrams for the longest element o
Externí odkaz:
http://arxiv.org/abs/2403.08814
Publikováno v:
J. Phys. A: Math. Theor. 57 (2024) 085202 (33pp)
We develop the quantum cluster algebra approach recently introduced by Sun and Yagi to investigate the tetrahedron equation, a three-dimensional generalization of the Yang-Baxter equation. In the case of square quiver, we devise a new realization of
Externí odkaz:
http://arxiv.org/abs/2310.14529
We construct a new solution to the tetrahedron equation and the three-dimensional (3D) reflection equation by extending the quantum cluster algebra approach by Sun and Yagi concerning the former. We consider the Fock-Goncharov quivers associated with
Externí odkaz:
http://arxiv.org/abs/2310.14493
Autor:
Murakami, Yuya, Terashima, Yuji
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. To prove it, we develop an asymptotic
Externí odkaz:
http://arxiv.org/abs/2308.04010
A $1$-parameter family of invertible states gives a topological transport phenomenon, similar to the Thouless pumping. As a natural generalization of this, we can consider a family of invertible states parametrized by some topological space $X$. This
Externí odkaz:
http://arxiv.org/abs/2303.04252
We construct a new type of quantum invariant of closed framed $3$-manifolds with the vanishing first Betti number. The invariant is defined for any finite dimensional Hopf algebra, such as small quantum groups, and is based on ideal triangulations. W
Externí odkaz:
http://arxiv.org/abs/2209.07378
We introduce the adjoint homological Selmer module for an SL$_2$-representation of a knot group, which may be seen as a knot theoretic analogue of the dual adjoint Selmer module for a Galois representation. We then show finitely generated torsion-nes
Externí odkaz:
http://arxiv.org/abs/2205.05401
Autor:
Matsusaka, Toshiki, Terashima, Yuji
In this article, for any Seifert fibered integral homology 3-sphere, we give explicit modular transformation formulas of homological blocks introduced by Gukov-Pei-Putrov-Vafa. Moreover, based on the modular transformation formulas, we have explicit
Externí odkaz:
http://arxiv.org/abs/2112.06210