Spherical structures on torus knots and links |
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Authors: | A. A. Kolpakov A. D. Mednykh |
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Affiliation: | (1) Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7–3–1, Bunkyo Tokyo, 113–0033, Japan |
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Abstract: | We study two infinite families of cone manifolds endowed with a spherical metric. The singular set of the first of them is the torus knot t(2n + 1, 2) and the singular set of the second is the two-component link t(2n, 2). We find the domains of sphericity of these cone manifolds in terms of cone angles and obtain analytic formulas for their volumes. |
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