3-BRAID KNOTS WITH MAXIMAL 4-GENUS
Publisher DOI
Abstract
We classify 3-braid knots whose topological 4-genus coincides with
their Seifert genus, using McCoy’s twisting method and the Xu normal form.
In addition, we give upper bounds for the topological 4-genus of positive and
strongly quasipositive 3-braid knots.
their Seifert genus, using McCoy’s twisting method and the Xu normal form.
In addition, we give upper bounds for the topological 4-genus of positive and
strongly quasipositive 3-braid knots.
Date Issued
2024-02-27
Publication Type
Article
Subject(s)
Language(s)
en
Author(s)
LUKAS, LEWARK | |
FILIP, MISEV | |
PAULA, TRUÖL |
Journal
Transactions of the American Mathematical Society Series B
Publisher
American Mathematical Society
ISSN
2330-0000
Access(Rights)
open.access