arXiv Analytics

Sign in

arXiv:2005.10197 [math.GT]AbstractReferencesReviewsResources

A lower bound on the stable 4-genus of knots

Damian Iltgen

Published 2020-05-20Version 1

We present a lower bound on the stable 4-genus of a knot based on Casson-Gordon $\tau$-signatures and compute the lower bound for an infinite family of knots, the twist knots.

Comments: 23 pages, 4 figures, comments welcome
Categories: math.GT
Subjects: 57K10
Related articles: Most relevant | Search more
arXiv:2108.00563 [math.GT] (Published 2021-08-01)
A lower bound on the average genus of a 2-bridge knot
arXiv:2210.06530 [math.GT] (Published 2022-10-12)
An Improvement of the lower bound for the minimum number of link colorings by quandles
arXiv:math/0408026 [math.GT] (Published 2004-08-02, updated 2009-02-09)
Quadrisecants give new lower bounds for the ropelength of a knot