8 citations · 79 across the 49 of their papers we have counts for
53 papers
Automatic computation of crosscap number of alternating knots
Kaito Yamada, Noboru Ito
We specify the computational complexity of crosscap numbers of alternating knots by introducing an automatic computation. For an alternating knot , let be the number o…
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.