Spherical structures on torus knots and links

Alexander Kolpakov (1) , Alexander Mednykh (2)

1 Département de Mathématiques et Mécanique - Université d'État de Novossibirsk
2 Sobolev Institute of Mathematics

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{æ} are presented.

Domaines: Géométrie métrique [math.MG]

Alexander Kolpakov, Alexander Mednykh. Spherical structures on torus knots and links. Siberian Mathematical Journal, 2009, 50 (5), pp.856-866. ⟨10.1007/s11202-009-0096-2⟩. ⟨hal-00606856v2⟩