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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 4, Pages 840–850 (Mi smj2575)  
Some classes of fibered links

R. V. Razumovskiĭ

Lomonosov Moscow State University, Moscow, Russia
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Abstract: We present two infinite classes of links and prove their fiberedness. The grid diagrams are used for combinatorial description. The first class generalizes the Lorentz links and is characterized by the fact that every second vertex in the diagram of each representative of the family lies on the coordinate diagonal of the grid diagram. The complements of the knots of the second class admit a free action of $\mathbb Z_n$.
Keywords: fibered links, grid diagrams, Heegaard–Floer homology, $(n,p,q)$-periodic knots.
Received: 29.01.2013
Revised: 27.01.2014
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 4, Pages 687–695
DOI: https://doi.org/10.1134/S0037446614040107
Bibliographic databases:
Document Type: Article
UDC: 514.76
Language: Russian
Citation: R. V. Razumovskiǐ, “Some classes of fibered links”, Sibirsk. Mat. Zh., 55:4 (2014), 840–850; Siberian Math. J., 55:4 (2014), 687–695
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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