Zobrazeno 1 - 10
of 340
pro vyhledávání: '"ITO, Noboru"'
Autor:
Fukunaga, Tomonori, Ito, Noboru
Nanophrases have a filtered structure consisting of an infinite number of categories, and each category has a homotopy structure. Among these categories, the one that we are most familiar with is the category of links. Interestingly, the category in
Externí odkaz:
http://arxiv.org/abs/2401.04506
Autor:
Yamada, Kaito, Ito, Noboru
We specify the computational complexity of crosscap numbers of alternating knots by introducing an automatic computation. For an alternating knot $K$, let $\cal{E}$ be the number of edges of its diagram. Then there exists a code such that the complex
Externí odkaz:
http://arxiv.org/abs/2303.09996
Autor:
Intawong, Kamolphat, Ito, Noboru
The linking number is the simplest link invariant given by Gauss; it is the first Gauss diagram formula expressed by one arrow among two circles. Proceeding the next stage, we study the second Gauss diagram formula consisting of two arrows among two
Externí odkaz:
http://arxiv.org/abs/2212.12463
Autor:
Ito, Noboru
Publikováno v:
International Journal of Mathematics (2023) 2350067
By integrating curvatures multiplied non-trivial densities, we introduce an integral expression of the Arnold strangeness that is a celebrated plane curve invariant. The key is a partition function by Shumakovitch to reformulate Arnold strangeness. O
Externí odkaz:
http://arxiv.org/abs/2211.06022
Autor:
Intawong, Kamolphat, Ito, Noboru
Topological polymers have various topological types, and they are expressed by graphs. However, the Jones polynomial, we have a difficulty to compute it; computational time is growing exponentially with respect to the crossing number. The simplest Va
Externí odkaz:
http://arxiv.org/abs/2205.14362
Autor:
Ito, Noboru, Komatsuzaki, Takeshi
We suggest a triple coproduct $\Delta$ which decomposes pointed one-component curves on surfaces into three-component curves. Combined with intersection numbers $\nu$ on three component curves, $\Delta$ gives a stable equivalence invariant of one-com
Externí odkaz:
http://arxiv.org/abs/2203.13672
Autor:
Ito, Noboru, Yoshida, Jun
The goal of this paper is to prove a categorified analogue of Kontsevich's $4T$ relation on Vassiliev derivatives of Khovanov homology.
Comment: 19 pages, revised entirely
Comment: 19 pages, revised entirely
Externí odkaz:
http://arxiv.org/abs/2202.08527
Autor:
Bao, Yuanyuan, Ito, Noboru
As an extension of Reshetikhin and Turaev's invariant, Costantino, Geer and Patureau-Mirand constructed $3$-manifold invariants in the setting of relative $G$-modular categories, which include both semisimple and non-semisimple ribbon tensor categori
Externí odkaz:
http://arxiv.org/abs/2202.00238
Autor:
Ito, Noboru
\"Ostlund (2001) showed that all planar isotopy invariants of generic plane curves that are unchanged under cusp moves and triple point moves, and of finite degree (in self-tangency moves) are trivial. Here the term "of finite degree" means Arnold-Va
Externí odkaz:
http://arxiv.org/abs/2201.06436