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Moscow Mathematical Journal

Volume 24, Issue 3, July–September 2024  pp. 427–440.

C-Boundary Links up to Six Crossings

Authors:  S. Yu. Orevkov (1)
Author institution:(1) Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia;
IMT, L'Université Paul Sabatier, 118 route de Narbonne, Toulouse, France


Summary: 

An oriented link is called C-boundary if it is realizable as (B,AB), where A is an algebraic curve in C2 and B is an embedded 4-ball. This notion was introduced by Michel Boileau and Lee Rudolph in 1995. In a recent joint paper with N. G. Kruzhilin we gave a complete classification of C-boundaries with at most 5 crossings. In the present paper a more regular method of construction of C-boundaries is proposed and the classification is extended up to 6 crossings.

2020 Math. Subj. Class. 57K10.



Keywords: C-boundary link, slice genus, 6-crossing links.

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