2012/11/30 by Christopher K. Atkinson, David Futer · 1 citation
Mathematics · #Combinatorics #Gene #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Homology (biology) #Knot (papermaking) #Link (geometry) #Locus (genetics) #Mathematical Dynamics and Fractals #Mathematics #Orbifold #Pure mathematics #math.GT #msc:57M50 #msc:57R18
paper · pdf · doi:10.4310/mrl.2013.v20.n6.a1
published as Math. Res. Lett. 20 (2013), Issue 6, 995-1016 · 19 pages, 3 figures. Revised version, to appear in Mathematical Research Letters
openalex publication_date 2013/01/01 · arxiv created 2013/09/27 · arxiv updated 2014/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This paper proves lower bounds on the volume of a hyperbolic 3-orbifold whose singular locus is a link. We identify the unique smallest volume orbifold whose singular locus is a knot or link in the 3-sphere, or more generally in a Z 6 homology sphere. We also prove more general lower bounds under mild homological hypotheses.