Go to content
UR Home

Untwisting 3‐strand torus knots

Baader, S. ; Banfield, I. ; Lewark, L.



Abstract

We prove that the signature bound for the topological 4-genus of 3-strand torus knots is sharp, using McCoy's twisting method. We also show that the bound is off by at most 1 for 4-strand and 6-strand torus knots, and improve the upper bound on the asymptotic ratio between the topological 4-genus and the Seifert genus of torus knots from 2/3 to 14/27.


Owner only: item control page
  1. Homepage UR

University Library

Publication Server

Contact:

Publishing: oa@ur.de
0941 943 4239

Dissertations: dissertationen@ur.de
0941 943 3904

Research data: daten@ur.de
0941 943 4239

Contact persons