Surfaces that become isotopic after Dehn filling
نویسندگان
چکیده
منابع مشابه
Small surfaces and Dehn filling
We give a summary of known results on the maximal distances between Dehn fillings on a hyperbolic 3–manifold that yield 3–manifolds containing a surface of non-negative Euler characteristic that is either essential or Heegaard. AMS Classification 57M25; 57M50
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It is shown that if M is a compact, connected, orientable hyperbolic 3-manifold whose boundary is a torus, and 7‘1, FZ are two slopes on i7M whose associated fillings are respectively a reducible manifold and one containing an essential torus, then the distance between these slopes is bounded above by 4. Under additional hypotheses this bound is improved Consequently the cabling conjecture is s...
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ژورنال
عنوان ژورنال: Communications in Analysis and Geometry
سال: 2015
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.2015.v23.n2.a6