English

Spherical structures on torus knots and links

Geometric Topology 2011-07-08 v5 Metric Geometry

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 formul{\ae} are presented.

Keywords

Cite

@article{arxiv.1008.0312,
  title  = {Spherical structures on torus knots and links},
  author = {Alexander Kolpakov and Alexander Mednykh},
  journal= {arXiv preprint arXiv:1008.0312},
  year   = {2011}
}

Comments

17 pages, 5 figures; typos

R2 v1 2026-06-21T15:55:57.102Z