8 citations · 79 across the 49 of their papers we have counts for
5 papers · 1 filter
New invariants of Legendrian knots
Noboru Ito, Masashi Takamura
We give new functions of Legendrian knots derived from Legendrian fronts. These are integer-valued linear functions that are alike the Arnold basic invariant of plane curves. Vario…
Milnor's triple linking number and Gauss diagram formulas of 3-bouquet graphs
Noboru Ito, Natsumi Oyamaguchi
In this paper, we introduce two functions such that the subtraction corresponds to the Milnor's triple linking number; the addition obtains a new integer-valued link homotopy invar…
Any nontrivial knot projection with no triple chords has a monogon or a bigon
Noboru Ito, Yusuke Takimura
A generic immersion of a circle into a -sphere is often studied as a projection of a knot; it is called a knot projection. A chord diagram is a configuration of paired points on…
The tabulation of prime knot projections with their mirror images up to eight double points
Noboru Ito, Yusuke Takimura
This paper provides the complete table of prime knot projections with their mirror images, without redundancy, up to eight double points systematically thorough a finite procedure…
Plumbing and computation of crosscap number
Noboru Ito, Kaito Yamada
We introduce a "deformation" of plumbing. We also define a structure of data used in a calculation by computer aid of the crosscap numbers of alternating knots.