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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 1017–1025
DOI: https://doi.org/10.17377/semi.2016.13.080
(Mi semr730)
 

This article is cited in 3 scientific papers (total in 3 papers)

Geometry and topology

An explicit volume formula for the link $7_3^2 (\alpha, \alpha)$ cone-manifolds

Ji-Young Hama, J. Leea, A. Mednykhb, A. Rasskazovc

a Hongik University, 94 Wausan-ro, Mapo-gu, Seoul, 04066, Korea
b Sobolev Institute of Mathematics, 4, pr. Koptyuga, Novosibirsk, 630090, Russia
c Webster International University, 146 Moo 5, Tambon Sam Phraya, Cha-am, Phetchaburi, 76120, Thailand
Full-text PDF (542 kB) Citations (3)
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Abstract: We calculate the volume of the $7_3^2$ link cone-manifolds using the Schläfli formula. As an application, we give the volume of the cyclic coverings branched over the link.
Keywords: hyperbolic orbifold, hyperbolic cone-manifold, volume, link $7_3^2$, orbifold covering, Riley–Mednykh polynomial.
Funding agency Grant number
Russian Science Foundation 16-41-02006
The present research was supported by Russian Science Foundation (project No. 16-41-02006).
Received July 26, 2016, published November 17, 2016
Bibliographic databases:
Document Type: Article
UDC: 514.13
MSC: 57M27,57M25
Language: English
Citation: Ji-Young Ham, J. Lee, A. Mednykh, A. Rasskazov, “An explicit volume formula for the link $7_3^2 (\alpha, \alpha)$ cone-manifolds”, Sib. Èlektron. Mat. Izv., 13 (2016), 1017–1025
Citation in format AMSBIB
\Bibitem{HamLeeMed16}
\by Ji-Young~Ham, J.~Lee, A.~Mednykh, A.~Rasskazov
\paper An explicit volume formula for the link $7_3^2 (\alpha, \alpha)$ cone-manifolds
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 1017--1025
\mathnet{http://mi.mathnet.ru/semr730}
\crossref{https://doi.org/10.17377/semi.2016.13.080}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407781100080}
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  • https://www.mathnet.ru/eng/semr730
  • https://www.mathnet.ru/eng/semr/v13/p1017
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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