3-BRAID KNOTS WITH MAXIMAL 4-GENUS

BAADER, SEBASTIAN; LUKAS, LEWARK; FILIP, MISEV; PAULA, TRUÖL (2024). 3-BRAID KNOTS WITH MAXIMAL 4-GENUS. Transactions of the American Mathematical Society Series B, 11, pp. 600-621. American Mathematical Society 10.1090/btran/183

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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.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Baader, Sebastian

Subjects:

500 Science > 510 Mathematics

ISSN:

2330-0000

Publisher:

American Mathematical Society

Language:

English

Submitter:

Zarif Ibragimov

Date Deposited:

27 Mar 2024 15:06

Last Modified:

28 Mar 2024 03:48

Publisher DOI:

10.1090/btran/183

BORIS DOI:

10.48350/194642

URI:

https://boris.unibe.ch/id/eprint/194642

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