Spherical structures on torus knots and links

Details Spherical structures on torus knots and links Spherical structures on torus knots and links

2010-08-02

arxiv.org/abs/1008.0312v5

Siberian Math. J., vol. 50, no. 5, pp. 856-866 (2009)

Mathematics

Geometric Topology

17 pages, 5 figures; typos

Scientific paper

10.1007/s11202-009-0096-2

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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