1 |
A. Abrams and S. Schleimer, Distances of Heegaard splittings, Geom. Topol. 9 (2005), 95-119.
|
2 |
R. Blair, M. Tomova, and M. Yoshizawa, High distance bridge surfaces, Algebr. Geom. Topol. 13 (2013), 2925-2946.
DOI
|
3 |
M. M. Campisi and M. Rathbun, High distance knots in closed 3-manifolds, J. Knot Theory Ramifications 21 (2012), no. 2, 1250017, 20 pp.
|
4 |
A. J. Casson and C. McA. Gordon, Reducing Heegaard splittings, Topology Appl. 27 (1987), no. 3, 275-283.
DOI
ScienceOn
|
5 |
T. Evans, High distance Heegaard splittings of 3-manifolds, Topology Appl. 153 (2006), 2631-2647.
DOI
ScienceOn
|
6 |
A. Fathi, F. Laudenbach, and V. Poenaru, Travaux de Thurston sur les surfaces, Asterisque, Vols. 66 and 67, 1979.
|
7 |
W. Haken, Some results on surfaces in 3-manifolds, Studies in Modern Topology, pp. 39-98, Math. Assoc. Amer. (distributed by Prentice-Hall, Englewood Cliffs, N.J.), 1968.
|
8 |
W. J. Harvey, Boundary structure of the modular group, In Riemann Surfaces and Related Topics: Proceedings of the 1978 Stony Brook Conference (ed. by I. Kra and B. Maskit), Ann. of Math. Stud. 97, Princeton University Press, Princeton, N.J., 1981.
|
9 |
W. J. Harvey, Modular groups and representation spaces, In Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, N.Y., 1978), pp. 245-251, Ann. of Math. Stud., 97, Princeton Univ. Press, Princeton, N.J., 1981.
|
10 |
A. Hatcher and W. Thurston, A presentation for the mapping class group, Topology 19 (1980), no. 3, 221-237.
DOI
ScienceOn
|
11 |
P. Heegaard, Forstudier til en topologisk Teori for de algebraiske Fladers Sammenhang, Thesis, (1898) (in Danish).
|
12 |
J. Hempel, 3-manifolds as viewed from the curve complex, Topology 40 (2001), no. 3, 631-657.
DOI
ScienceOn
|
13 |
K. Ichihara and K. Motegi, Stably filling curves on a surface, Kobe J. Math. 19 (2002), no. 1-2, 61-66.
|
14 |
K. Ichihara and K. Motegi, Braids and Nielsen-Thurston types of automorphisms of punctured surfaces, Tokyo J. Math. 28 (2005), no. 2, 527-538.
DOI
|
15 |
K. Ichihara and K. Motegi, Hyperbolic sections in surface bundles, Topology Appl. 154 (2007), no. 7, 1398-1406.
DOI
ScienceOn
|
16 |
H. A. Masur and Y. N. Minsky, Geometry of the complex of curves I. hyperbolicity, Invent. Math. 138 (1999), no. 1, 103-149.
DOI
|
17 |
K. Ichihara and K. Motegi, Hyperbolic sections in Seifert fibered, surface bundles, Q. J. Math. 60 (2009), no. 4, 475-486.
DOI
ScienceOn
|
18 |
T. Kobayashi, Heights of simple loops and pseudo-Anosov homeomorphisms, In Braids (Santa Cruz, CA, 1986), 327-338, Contemp. Math., 78, Amer. Math. Soc., Providence, RI, 1988.
DOI
|
19 |
I. Kra, On the Nielsen-Thurston-Bers type of some self-maps of Riemann surfaces, Acta Math. 146 (1981), no. 3-4, 231-270.
DOI
|
20 |
Y. N. Minsky, Curve complexes, surfaces and 3-manifolds, International Congress of Mathematicians. Vol. II, 1001-1033, Eur. Math. Soc., Zrich, 2006.
|
21 |
Y. N. Minsky, Y. Moriah, and S. Schleimer, High distance knots, Algebr. Geom. Topol. 7 (2007), 1471-1483.
DOI
|
22 |
E. E. Moise, Ane structures in 3-manifolds. V. The triangulation theorem and Hauptvermutung, Ann. of Math. (2) 56 (1952), 96-114.
DOI
|
23 |
T. Saito, Genus one 1-bridge knots as viewed from the curve complex, Osaka J. Math. 41 (2004), no. 2, 427-454.
|
24 |
T. Saito, Meridional destabilizing number of knots, Algebr. Geom. Topol. 11 (2011), no. 2, 1205-1242.
DOI
|
25 |
W. P. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. (N.S.) 19 (1988), no. 2, 417-431.
DOI
|
26 |
M. Tomova, Multiple Bridge surfaces restrict knot distance, Algebr. Geom. Topol. 7 (2007), 957-1006.
DOI
|