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arxiv: 1008.0312 · v5 · pith:ZGXDDG2Lnew · submitted 2010-08-02 · 🧮 math.GT · math.MG

Spherical structures on torus knots and links

classification 🧮 math.GT math.MG
keywords sphericaltorusmetricanglesconecone-manifoldsconsidersdomains
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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 formul{\ae} are presented.

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