Spherical structures on torus knots and links

preprint2011arXivOpen access

Abstract

The present paper considers two infinite families of cone-manifolds endowed with spherical metric. The singular strata is either the torus knot t(2n+1,2){\rm t}(2n+1, 2) or the torus link t(2n,2){\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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