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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

Dokl. RAN. Math. Inf. Proc. Upr., 2020 Volume 494, Pages 56–59 (Mi danma10)

This article is cited in 2 papers

MATHEMATICS

On alternating quasipositive links

S. Yu. Orevkovabc

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b L'université Paul Sabatier, Toulouse, France
c Московский физико-технический институт (национальный исследовательский университет), Долгопрудный, Россия

Abstract: An effectively verifiable condition for quasipositivity of links is given. In particular, it is proven that if a quasipositive link can be represented by an alternating diagram satisfying the condition that no pair of Seifert circles is connected by a single crossing, then the diagram is positive and the link is strongly quasipositive.

Keywords: quasipositive link, alternating link, Seifert circles.

UDC: 515.162.8

Presented: V. A. Vassiliev
Received: 16.07.2020
Revised: 30.07.2020
Accepted: 01.08.2020

DOI: 10.31857/S2686954320050409


 English version:
Doklady Mathematics, 2020, 102:2, 403–405

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