scholarly journals A census of exceptional Dehn fillings

2020 ◽  
pp. 143-155
Author(s):  
Nathan Dunfield
Keyword(s):  
Dehn Fillings

Reducing Spheres and Klein Bottles after Dehn Fillings

2003 ◽  
Vol 46 (2) ◽  
pp. 265-267 ◽  
Author(s):  
Seungsang Oh
Keyword(s):  
Short Proof ◽  
Klein Bottle ◽  
Dehn Fillings

AbstractLet M be a compact, connected, orientable, irreducible 3-manifold with a torus boundary. It is known that if two Dehn fillings on M along the boundary produce a reducible manifold and a manifold containing a Klein bottle, then the distance between the filling slopes is at most three. This paper gives a remarkably short proof of this result.

scholarly journals Boundaries of Dehn fillings

2019 ◽  
Vol 23 (6) ◽  
pp. 2929-3002 ◽  
Author(s):  
Daniel Groves ◽  
Jason Fox Manning ◽  
Alessandro Sisto
Keyword(s):  
Dehn Fillings

A Note on Finite Dehn Fillings

1999 ◽  
Vol 42 (2) ◽  
pp. 149-154
Author(s):  
S. Boyer ◽  
X. Zhang
Keyword(s):  
Finite Volume ◽  
Hyperbolic Metric ◽  
Fundamental Groups ◽  
Dehn Fillings ◽  
Zero Class

AbstractLet M be a compact, connected, orientable 3-manifold whose boundary is a torus and whose interior admits a complete hyperbolic metric of finite volume. In this paper we show that if theminimal Culler-Shalen norm of a non-zero class in H1(∂M) is larger than 8, then the finite surgery conjecture holds for M. This means that there are at most 5 Dehn fillings of M which can yieldmanifolds having cyclic or finite fundamental groups and the distance between any slopes yielding such manifolds is at most 3.

scholarly journals P2-reducing and toroidal Dehn fillings

2003 ◽  
Vol 134 (02) ◽  
pp. 271-288 ◽  
Author(s):  
GYO TAEK JIN ◽  
SANGYOP LEE ◽  
SEUNGSANG OH ◽  
MASAKAZU TERAGAITO
Keyword(s):  
Dehn Fillings

scholarly journals Decision problems in the space of Dehn fillings

Topology ◽  
2003 ◽  
Vol 42 (4) ◽  
pp. 845-906 ◽  
Author(s):  
William Jaco ◽  
Eric Sedgwick
Keyword(s):  
Decision Problems ◽  
Dehn Fillings

scholarly journals Toroidal and Annular Dehn Fillings

1999 ◽  
Vol 78 (3) ◽  
pp. 662-700 ◽  
Author(s):  
Cameron McA. Gordon ◽  
Ying-Qing Wu
Keyword(s):  
Dehn Fillings
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