Permanent link to this recordhttp://hdl.handle.net/20.500.12613/4967
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Abstract© 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 workAmerican Mathematical Society (AMS)
Has partTransactions of the American Mathematical Society
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