Bounds on Volume Increase Under Dehn Drilling Operations
نویسندگان
چکیده
منابع مشابه
Bounds on Volume Increase Under Dehn Drilling Operations
In this paper we investigate how the volume of hyperbolic manifolds increases under the process of removing a curve, that is, Dehn drilling. If the curve we remove is a geodesic we are able to show that for a certain family of manifolds the volume increase is bounded above by π · l where l is the length of the geodesic drilled. Also we construct examples to show that there is no lower bound to ...
متن کاملBounds on exceptional Dehn filling
We show that for a hyperbolic knot complement, all but at most 12 Dehn fillings are irreducible with infinite word-hyperbolic fundamental group. AMS Classification numbers Primary: 57M50, 57M27 Secondary: 57M25, 57S25
متن کاملBounds on Exceptional Dehn Filling Ii
We show that there are at most finitely many one cusped orientable hyperbolic 3-manifolds which have more than eight non-hyperbolic Dehn fillings. Moreover, we show that determining these finitely many manifolds is decidable.
متن کامل1 7 Ja n 20 01 Volume change under drilling
Given a hyperbolic 3-manifold containing an embedded geodesic, we estimate the volume of a complete hyperbolic metric after drilling the geodesic from the manifold in terms of the radius of an embedded tube about the geodesic.
متن کاملDehn Filling, Volume, and the Jones Polynomial
Given a hyperbolic 3–manifold with torus boundary, we bound the change in volume under a Dehn filling where all slopes have length at least 2π. This result is applied to give explicit diagrammatic bounds on the volumes of many knots and links, as well as their Dehn fillings and branched covers. Finally, we use this result to bound the volumes of knots in terms of the coefficients of their Jones...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 1998
ISSN: 0024-6115
DOI: 10.1112/s0024611598000513