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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 494, Pages 56–59
DOI: https://doi.org/10.31857/S2686954320050409 (Mi danma10) 		 
This article is cited in 2 scientific papers (total 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
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DOI: https://doi.org/10.31857/S2686954320050409
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.
Presented: V. A. Vassiliev
Received: 16.07.2020
Revised: 30.07.2020
Accepted: 01.08.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 2, Pages 403–405
DOI: https://doi.org/10.1134/S1064562420050385
Bibliographic databases:
Document Type: Article
UDC: 515.162.8
Language: Russian
Citation: S. Yu. Orevkov, “On alternating quasipositive links”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020), 56–59; Dokl. Math., 102:2 (2020), 403–405
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