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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 3, Pages 680–689 (Mi smj2229)  
This article is cited in 7 scientific papers (total in 7 papers)

Dehn surgeries on the figure eight knot: an upper bound for complexity

E. A. Fominykhab

a Chelyabinsk State University, Chelyabinsk
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (385 kB) Citations (7)
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Abstract: We establish an upper bound $\omega(p/q)$ on the complexity of the manifolds obtained by $p/q$-surgeries on the figure eight knot. It turns out that in case $\omega(p/q)\le12$ the bound is sharp.
Keywords: Dehn surgery, figure eight knot, complexity.
Received: 22.06.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 3, Pages 537–543
DOI: https://doi.org/10.1134/S0037446611030165
Bibliographic databases:
Document Type: Article
UDC: 515.162
Language: Russian
Citation: E. A. Fominykh, “Dehn surgeries on the figure eight knot: an upper bound for complexity”, Sibirsk. Mat. Zh., 52:3 (2011), 680–689; Siberian Math. J., 52:3 (2011), 537–543
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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