Cyclic surgery, degrees of maps of character curves, and volume rigidity for hyperbolic manifolds
نویسندگان
چکیده
منابع مشابه
Cyclic surgery, degrees of maps of character curves, and volume rigidity for hyperbolic manifolds
This paper proves the following conjecture of Boyer and Zhang: If a small hyperbolic knot in a homotopy sphere has a non-trivial cyclic surgery slope r, then it has an incompressible surface with non-integer boundary slope strictly between r − 1 and r + 1. I state this result below as Theorem 4.1, after giving the background needed to understand it. Corollary 1.1 of Theorem 4.1 is that any smal...
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ژورنال
عنوان ژورنال: Inventiones Mathematicae
سال: 1999
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s002220050321