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Refilling meridians in a genus 2 handlebody complement
Martin Scharlemann
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Geometry & Topology Monographs 14
(2008) 451–475
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1 |
S Bleiler, M
Scharlemann, Tangles, property P, and
a problem of J. Martin, Math. Ann. 273 (1986)
215–225 MR817877 |
2 |
S Bleiler, M
Scharlemann, A projective
plane in R4 with three critical points is
standard. Strongly invertible knots have property P,
Topology 27 (1988) 519–540 MR976593 |
3 |
A J Casson,
C M Gordon, Reducing
Heegaard splittings, Topology Appl. 27 (1987)
275–283 MR918537 |
4 |
M Culler, C M
Gordon, J Luecke, P B Shalen,
Dehn surgery on
knots, Ann. of Math. (2) 125 (1987) 237–300
MR881270 |
5 |
M Eudave Muñoz,
Primeness and
sums of tangles, Trans. Amer. Math. Soc. 306 (1988)
773–790 MR933317 |
6 |
M Eudave Muñoz,
Prime
knots obtained by band sums, Pacific J. Math. 139
(1989) 53–57 MR1010784 |
7 |
M Eudave Muñoz,
Band sums of
links which yield composite links. The cabling conjecture for
strongly invertible knots, Trans. Amer. Math. Soc. 330
(1992) 463–501 MR1112545 |
8 |
D Gabai, Genus is
superadditive under band connected sum, Topology 26 (1987)
209–210 MR895573 |
9 |
C M Gordon,
Dehn filling: a survey, from: "Knot theory (Warsaw,
1995)", Banach Center Publ. 42, Polish Acad. Sci. (1998)
129–144 MR1634453 |
10 |
C M Gordon,
R A Litherland, Incompressible
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(1984) 121–144 MR769286 |
11 |
W Jaco, Adding a 2-handle to a
3-manifold: an application to property R, Proc. Amer.
Math. Soc. 92 (1984) 288–292 MR754723 |
12 |
S Kinoshita,
On
elementary ideals of polyhedra in the 3-sphere, Pacific
J. Math. 42 (1972) 89–98 MR0312485 |
13 |
M Scharlemann,
Tunnel number
one knots satisfy the Poenaru conjecture, Topology
Appl. 18 (1984) 235–258 MR769294 |
14 |
M Scharlemann,
Smooth
spheres in R4 with four critical points are
standard, Invent. Math. 79 (1985) 125–141
MR774532 |
15 |
M G Scharlemann,
Unknotting
number one knots are prime, Invent. Math. 82 (1985)
37–55 MR808108 |
16 |
M Scharlemann,
Producing
reducible 3-manifolds by surgery on a knot, Topology 29
(1990) 481–500 MR1071370 |
17 |
M Scharlemann, A
Thompson, Unknotting number,
genus, and companion tori, Math. Ann. 280 (1988)
191–205 MR929535 |
18 |
M Scharlemann, A
Thompson, Link genus and the
Conway moves, Comment. Math. Helv. 64 (1989)
527–535 MR1022995 |
19 |
S Taylor, Boring
split links and unknots arXiv:0709.4051 |
20 |
F Waldhausen,
Heegaard-Zerlegungen
der 3-Sphäre, Topology 7 (1968) 195–203
MR0227992 |
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