8 citations · 79 across the 49 of their papers we have counts for
8 papers · 2 filters
Multiple Linking Number
Kamolphat Intawong, Noboru Ito
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 stud…
Curvature and quantized Arnold strangeness
Noboru Ito
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 p…
Variations of Milnor's triple linking number
Kamolphat Intawong, Noboru Ito
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 grow…
A triple coproduct of curves and knots
Noboru Ito, Takeshi Komatsuzaki
We introduce a triple coproduct for knots on surfaces, providing a commutative framework that decomposes a single-component diagram into three components (Section 2). This construc…
On the four-term relation on Khovanov homology
Noboru Ito, Jun Yoshida
The goal of this paper is to prove a categorified analogue of Kontsevich's relation on Vassiliev derivatives of Khovanov homology.
-Alexander polynomial for -manifolds
Yuanyuan Bao, Noboru Ito
As an extension of Reshetikhin and Turaev's invariant, Costantino, Geer and Patureau-Mirand constructed -manifold invariants in the setting of relative -modular categories, w…