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arXiv · 1008.0312

Spherical structures on torus knots and links

Alexander Kolpakov·Alexander Mednykh
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Abstract

The present paper considers two infinite families of cone-manifolds endowed with spherical metric. The singular strata is either the torus knot ${\rm t}(2n+1, 2)$ or the torus link ${\rm t}(2n, 2)$. Domains of existence for a spherical metric are found in terms of cone angles and volume formulæ are presented.

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Alexander Kolpakov, Alexander Mednykh. 2011-07-07. Spherical structures on torus knots and links. https://doi.org/10.1007/s11202-009-0096-2

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