|
Geometry & Topology Monographs 12
(2007) 233–263
|
| 1 |
D Bachman, Heegaard
splittings with boundary and almost normal surfaces,
Topology Appl. 116 (2001) 153–184 MR1855961 |
| 2 |
D Bachman, R
Derby-Talbot, Non-isotopic
Heegaard splittings of Seifert fibered spaces, Algebr.
Geom. Topol. 6 (2006) 351–372 MR2220681
, with an appendix by R Weidmann |
| 3 |
M Boileau, M
Rost, H Zieschang, On Heegaard
decompositions of torus knot exteriors and related Seifert
fibre spaces, Math. Ann. 279 (1988) 553–581
MR922434 |
| 4 |
F Bonahon, J P
Otal, Scindements
de Heegaard des espaces lenticulaires, Ann. Sci.
École Norm. Sup. (4) 16 (1983) MR740078 |
| 5 |
A Casson, C
Gordon, Manifolds with irreducible splittings of
arbitrarily high genus, unpublished |
| 6 |
A J Casson,
C M Gordon, Reducing
Heegaard splittings, Topology Appl. 27 (1987)
275–283 MR918537 |
| 7 |
M Culler, C M
Gordon, J Luecke, P B Shalen,
Dehn surgery on
knots, Ann. of Math. (2) 125 (1987) 237–300
MR881270 |
| 8 |
R Engmann,
Nicht-homöomorphe Heegaard-Zerlegungen vom Geschlecht 2
der zusammenhängenden Summe zweier Linsenräume,
Abh. Math. Sem. Univ. Hamburg 35 (1970) 33–38 MR0283803 |
| 9 |
W Floyd, U
Oertel, Incompressible
surfaces via branched surfaces, Topology 23 (1984)
117–125 MR721458 |
| 10 |
A E Hatcher,
On
the boundary curves of incompressible surfaces, Pacific
J. Math. 99 (1982) 373–377 MR658066 |
| 11 |
W Jaco, Lectures on
three-manifold topology, CBMS Regional Conference Series in
Mathematics 43, American Mathematical Society (1980) MR565450 |
| 12 |
W Jaco, E
Sedgwick, Decision
problems in the space of Dehn fillings, Topology 42
(2003) 845–906 MR1958532 |
| 13 |
T Li, Heegaard
surfaces and measured laminations II: Non-Haken
3–manifolds, J. Amer. Math. Soc. 19 (2006)
625–657 MR2220101 |
| 14 |
Y Moriah, Heegaard splittings of
Seifert fibered spaces, Invent. Math. 91 (1988)
465–481 MR928492 |
| 15 |
Y Moriah, On boundary
primitive manifolds and a theorem of
Casson–Gordon, Topology Appl. 125 (2002)
571–579 MR1935173 |
| 16 |
Y Moriah, H
Rubinstein, Heegaard structures of negatively curved
3–manifolds, Comm. Anal. Geom. 5 (1997) 375–412
MR1487722 |
| 17 |
Y Moriah, J
Schultens, Irreducible
Heegaard splittings of Seifert fibered spaces are either
vertical or horizontal, Topology 37 (1998)
1089–1112 MR1650355 |
| 18 |
Y Moriah, E
Sedgwick, Closed essential
surfaces and weakly reducible Heegaard splittings in manifolds
with boundary, J. Knot Theory Ramifications 13 (2004)
829–843 MR2088748 |
| 19 |
Y Moriah, E
Sedgwick, Middle splittings of torus knots are usually
not gamma primitive, preprint (2006) |
| 20 |
K Morimoto, M
Sakuma, On unknotting tunnels
for knots, Math. Ann. 289 (1991) 143–167 MR1087243 |
| 21 |
L Moser, Elementary
surgery along a torus knot, Pacific J. Math. 38 (1971)
737–745 MR0383406 |
| 22 |
Y Rieck, Heegaard
structures of manifolds in the Dehn filling space,
Topology 39 (2000) 619–641 MR1746912 |
| 23 |
Y Rieck, Genus
reducing knots in 3–manifolds, Rend. Istit. Mat.
Univ. Trieste 32 (2001) MR1893404 |
| 24 |
Y Rieck, E
Sedgwick, Finiteness results for Heegaard surfaces in
surgered manifolds, Comm. Anal. Geom. 9 (2001)
351–367 MR1846207 |
| 25 |
Y Rieck, E
Sedgwick, Persistence
of Heegaard structures under Dehn filling, Topology
Appl. 109 (2001) 41–53 MR1804562 |
| 26 |
M Scharlemann,
Heegaard splittings of compact 3–manifolds, from:
"Handbook of geometric topology", North-Holland (2002)
921–953 MR1886684 |
| 27 |
H Schubert,
Über
eine numerische Knoteninvariante, Math. Z. 61 (1954)
245–288 MR0072483 |
| 28 |
J Schultens,
Heegaard
splittings of Seifert fibered spaces with boundary,
Trans. Amer. Math. Soc. 347 (1995) 2533–2552 MR1297537 |
| 29 |
J Schultens,
The
stabilization problem for Heegaard splittings of Seifert
fibered spaces, Topology Appl. 73 (1996) 133–139
MR1416756 |
| 30 |
J Schultens,
Weakly
reducible Heegaard splittings of Seifert fibered
spaces, Topology Appl. 100 (2000) 219–222
MR1733046 |
| 31 |
J Schultens, Bridge
numbers of torus knots, preprint (2005) |
| 32 |
P Scott, The geometries of
3–manifolds, Bull. London Math. Soc. 15 (1983)
401–487 MR705527 |
| 33 |
E Sedgwick, The
irreducibility of Heegaard splittings of Seifert fibered
spaces, Pacific J. Math. 190 (1999) 173–199 MR1722770 |
| 34 |
E Sedgwick,
Genus two
3-manifolds are built from handle number one pieces,
Algebr. Geom. Topol. 1 (2001) 763–790 MR1875617 |
| 35 |
A Thompson, Thin
position and the recognition problem for S³, Math.
Res. Lett. 1 (1994) 613–630 MR1295555 |
| 36 |
F Waldhausen,
Gruppen mit
Zentrum und 3–dimensionale Mannigfaltigkeiten,
Topology 6 (1967) 505–517 MR0236930 |
| 37 |
Y Q Wu,
Incompressibility
of surfaces in surgered 3–manifolds, Topology 31
(1992) 271–279 MR1167169 |
