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Small volume link orbifolds

Atkinson, CK
; 
Futer, D
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Journal Article
Date
2013-01-01
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math.GT
 math.GT
 57M50, 57R18
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http://hdl.handle.net/20.500.12613/5973
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1211.5057v2.pdf
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DOI
10.4310/MRL.2013.v20.n6.a1
Abstract
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 ℤ6 homology sphere. We also prove more general lower bounds under mild homological hypotheses. © International Press 2013.
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International Press of Boston
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Mathematical Research Letters
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