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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2010, Volume 7, Pages 458–460 (Mi semr260)  
Research papers

The component number of links corresponding to lattices

L. R. Nabeeva

Chelyabinsk State University
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Abstract: We give a new short proof of the main result of [1], which states that any rectangular $(m\times n)$-lattice determines a projection of a $d$-component link, where $d=\mathrm{gcd}(m+1,n+1)$.
Keywords: Lattice, medial graph, billiard trajectories, geodesic curves, flat torus.
Received November 19, 2010, published December 4, 2010
Document Type: Article
UDC: 515.16
MSC: 57M25
Language: Russian
Citation: L. R. Nabeeva, “The component number of links corresponding to lattices”, Sib. Èlektron. Mat. Izv., 7 (2010), 458–460
Citation in format AMSBIB
\Bibitem{Nab10}
\by L.~R.~Nabeeva
\paper The component number of links corresponding to lattices
\jour Sib. \`Elektron. Mat. Izv.
\yr 2010
\vol 7
\pages 458--460
\mathnet{http://mi.mathnet.ru/semr260}
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  • https://www.mathnet.ru/eng/semr/v7/p458
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