RUS
ENG
Full version
JOURNALS
// Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
// Archive
Sib. Èlektron. Mat. Izv.,
2010
Volume 7,
Pages
458–460
(Mi semr260)
Research papers
The component number of links corresponding to lattices
L. R. Nabeeva
Chelyabinsk State University
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.
UDC:
515.16
MSC:
57M25
Received
November 19, 2010
, published
December 4, 2010
Fulltext:
PDF file (154 kB)
References
©
Steklov Math. Inst. of RAS
, 2024