Geodesic
The component number of links corresponding to lattices
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 458-460

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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, geodesic curves, flat torus.
Mots-clés : billiard trajectories 
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     author = {L. R. Nabeeva},
     title = {The component number of links corresponding to lattices},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {458--460},
     publisher = {mathdoc},
     volume = {7},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2010_7_a29/}
}
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L. R. Nabeeva. The component number of links corresponding to lattices. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 458-460. http://geodesic.mathdoc.fr/item/SEMR_2010_7_a29/