Kei Okada’s scientific contributions

What is this page?


This page lists works of an author who doesn't have a ResearchGate profile or hasn't added the works to their profile yet. It is automatically generated from public (personal) data to further our legitimate goal of comprehensive and accurate scientific recordkeeping. If you are this author and want this page removed, please let us know.

Publications (1)


Figure 1. Left: The (2, c)-torus link T (2, c) with parallel orientation. Right: Each box with a positive integer p (respectively a negative integer −p) represents right-handed (resp. left-handed) p twists.
Figure 2. Oriented links L with σ(L) = 2 − cr(L).
Figure 5. Oriented 2-bridge links C(p, 2q, r), C(p, 2q − 1, 2r), C(2p, 2q − 1, 1, 2r − 1, 2s).
Figure 7. Smoothings on T (2, c).
Signature and crossing number of links
  • Preprint
  • File available

October 2024

·

13 Reads

Kai Ishihara

·

Kei Okada

·

This paper investigates the relationship between the signature and the crossing number of knots and links. We refine existing theorems and provide a comprehensive classification of links with specific properties, particularly those with signatures that deviate by a fixed amount from their crossing numbers. The main results include the identification of all links for which the sum of the signature and crossing number equals 2, which are shown to be closures of positive 3-braids. Additionally, we explore the implications of these findings in the context of band surgeries and their applications to vortex knots and DNA topology.

Download