Genre
Post-printDate
2017-01-01Author
Atkinson, CKFuter, D
Permanent link to this record
http://hdl.handle.net/20.500.12613/4967
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Show full item recordDOI
10.1090/tran/6920Abstract
© 2017 by the authors. For each natural number n ≥ 4, we determine the unique lowest volume hyperbolic 3–orbifold whose torsion orders are bounded below by n. This lowest volume orbifold has base space the 3–sphere and singular locus the figure–8 knot, marked n. We apply this result to give sharp lower bounds on the volume of a hyperbolic manifold in terms of the order of elements in its symmetry group.Citation to related work
American Mathematical Society (AMS)Has part
Transactions of the American Mathematical SocietyADA compliance
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http://dx.doi.org/10.34944/dspace/4949