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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2018 Volume 59, Number 6, Pages 1412–1422 (Mi smj3053)
This article is cited in 2 papers

A lower bound for the crossing number of links in thickened surfaces

V. V. Tarkaevab

a Chelyabinsk State University, Chelyabinsk, Russia
b Institute of Mathematics and Mechanics, Ekaterinburg, Russia

Abstract: We introduce the notion of homological multiplicity for an oriented link in a thickened orientable closed surface. Using the notion, we establish some lower bounds for the crossing number of a link in thickened surfaces.

Keywords: thickened surface, knot, link, crossing number, homological multiplicity.

UDC: 515.162.8

MSC: 35R30

Received: 02.02.2018

DOI: 10.17377/smzh.2018.59.615


 English version: Siberian Mathematical Journal, 2018, 59:6, 1125–1132

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© Steklov Math. Inst. of RAS, 2024