|
Geometry & Topology Monographs 12
(2007) 299–317
|
| 1 |
J W Alexander,
On the subdivision of 3-space by a polyhedron., Nat.
Acad. Proc. 10 (1924) 6–8 |
| 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 |
L Bartolini,
J H Rubinstein, One-sided Heegaard
splittings of RP3, Algebr. Geom.
Topol. 6 (2006) 1319–1330 MR2253448 |
| 4 |
R H Bing,
An alternative
proof that 3-manifolds can be triangulated, Ann. of
Math. (2) 69 (1959) 37–65 MR0100841 |
| 5 |
L N Carvalho,
U Oertel, A classification of automorphisms of
compact 3–manifolds arXiv:math/0510610 |
| 6 |
A J Casson,
C M Gordon, Manifolds with irreducible Heegaard
splittings of arbitrarily high genus, talk at MSRI
(1985) |
| 7 |
R Craggs, A new proof of the
Reidemeister-Singer theorem on stable equivalence of Heegaard
splittings, Proc. Amer. Math. Soc. 57 (1976)
143–147 MR0410749 |
| 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 |
A T Fomenko,
S V Matveev, Algorithmic and computer methods
for three-manifolds, Mathematics and its Applications 425,
Kluwer Academic Publishers (1997) MR1486574
Translated from the 1991 Russian original by M Tsaplina and M
Hazewinkel and revised by the authors |
| 10 |
V K A M
Gugenheim, Piecewise linear isotopy and embedding of
elements and spheres. I, II, Proc. London Math. Soc. (3) 3
(1953) 29–53, 129–152 MR0058204 |
| 11 |
W Haken, Some
results on surfaces in 3-manifolds, from: "Studies in
Modern Topology", Math. Assoc. Amer. (distributed by
Prentice-Hall) (1968) 39–98 MR0224071 |
| 12 |
A J S
Hamilton, The triangulation of 3-manifolds, Quart.
J. Math. Oxford Ser. (2) 27 (1976) 63–70 MR0407848 |
| 13 |
A Hatcher, Homological stability
for automorphism groups of free groups, Comment. Math.
Helv. 70 (1995) 39–62 MR1314940 |
| 14 |
A Hatcher, Notes
on basic 3-manifold topology (2001) |
| 15 |
J Hempel,
3-Manifolds, Ann. of Math. Studies 86, Princeton
University Press (1976) MR0415619 |
| 16 |
W Jaco, J H
Rubinstein, Layered-triangulations of 3-manifolds
arXiv:math/0603601 |
| 17 |
J Johnson, Notes on
Heegaard splittings (2007) |
| 18 |
T Kobayashi, A
construction of 3-manifolds whose homeomorphism classes of
Heegaard splittings have polynomial growth, Osaka J. Math.
29 (1992) 653–674 MR1192734 |
| 19 |
F Laudenbach,
Sur les
2-sphères d'une variété de dimension 3,
Ann. of Math. (2) 97 (1973) 57–81 MR0314054 |
| 20 |
F Lei, On stability of
Heegaard splittings, Math. Proc. Cambridge Philos. Soc.
129 (2000) 55–57 MR1757777 |
| 21 |
W B R
Lickorish, Simplicial moves on complexes and
manifolds, from: "Proceedings of the Kirbyfest (Berkeley,
CA, 1998)" (editors J Hass, M Scharlemann), Geom. Topol.
Monogr. 2 (1999) 299–320 MR1734414 |
| 22 |
M Lustig, Y
Moriah, 3-manifolds
with irreducible Heegaard splittings of high genus,
Topology 39 (2000) 589–618 MR1746911 |
| 23 |
E E Moise,
Affine
structures in 3-manifolds. V. The triangulation theorem and
Hauptvermutung, Ann. of Math. (2) 56 (1952)
96–114 MR0048805 |
| 24 |
E E Moise,
Geometric topology in dimensions 2 and 3, Graduate Texts
in Mathematics 47, Springer (1977) MR0488059 |
| 25 |
Y Moriah, S
Schleimer, E Sedgwick, Heegaard
splittings of the form H+nK, Comm. Anal. Geom. 14
(2006) 215–247 MR2255010 |
| 26 |
U Pachner, P.L.
homeomorphic manifolds are equivalent by elementary
shellings, European J. Combin. 12 (1991) 129–145
MR1095161 |
| 27 |
K Reidemeister, Zur
dreidimensionalen Topologie., Abh. Math. Semin. Hamb. Univ.
9 (1933) 189–194 |
| 28 |
Y Rieck, A proof of
Waldhausen's uniqueness of splittings of S³ (after
Rubinstein and Scharlemann) arXiv:math/0607332 |
| 29 |
D Rolfsen, Knots
and links, Mathematics Lecture Series 7, Publish or Perish
(1976) MR0515288 |
| 30 |
C P Rourke,
B J Sanderson, Introduction to piecewise-linear
topology, Ergebnisse series 69, Springer (1972) MR0350744 |
| 31 |
H Rubinstein, M
Scharlemann, Comparing
Heegaard splittings of non-Haken 3-manifolds, Topology
35 (1996) 1005–1026 MR1404921 |
| 32 |
M Scharlemann,
Heegaard splittings of compact 3-manifolds, from:
"Handbook of geometric topology", North-Holland (2002)
921–953 MR1886684 |
| 33 |
M Scharlemann, A
Thompson, Thin position and Heegaard splittings of the
3-sphere, J. Differential Geom. 39 (1994) 343–357
MR1267894 |
| 34 |
E Sedgwick, The
irreducibility of Heegaard splittings of Seifert fibered
spaces, Pacific J. Math. 190 (1999) 173–199 MR1722770 |
| 35 |
J Singer, Three-dimensional manifolds
and their Heegaard diagrams, Trans. Amer. Math. Soc. 35
(1933) 88–111 MR1501673 |
| 36 |
F Waldhausen,
Heegaard-Zerlegungen
der 3-Sphäre, Topology 7 (1968) 195–203
MR0227992 |
