1 |
K. Morimoto, On minimum genus Heegaard splittings of some orientable closed 3- manifolds, Tokyo J. Math. 12 (1989), no. 2, 321–355
|
2 |
D. Rolfsen, Knots and Links, Publish or Perish, Inc., Houston, TX, 1990
|
3 |
T. Saito, Genus one 1-bridge knots as viewed from the curve complex, Osaka J. Math. 41 (2004), no. 2, 427–454
|
4 |
A. Thompson, The disjoint curve property and genus 2 manifolds, Topology Appl. 97 (1999), no. 3, 273–279
DOI
ScienceOn
|
5 |
J. Hempel, 3-manifolds as viewed from the curve complex, Topology 40 (2001), no. 3, 631–657
|
6 |
C. Adams, The Knot Book, W. H. Freeman and Company, New York, 1994
|
7 |
A. J. Casson and C. McA. Gordon, Reducing Heegaard splittings, Topology Appl. 27 (1987), no. 3, 275–283
DOI
ScienceOn
|
8 |
W. Haken, Studies in Modern Topology; Some results on surfaces in 3-manifolds, Prentice Hall, 1968
|
9 |
C. Hayashi, 1-genus 1-bridge splittings for knots, Osaka J. Math. 41 (2004), no. 2, 371–426
|
10 |
C. Hayashi, Genus one 1-bridge positions for the trivial knot and cabled knots, Math. Proc. Cambridge Philos. Soc. 125 (1999), no. 1, 53–65
|
11 |
C. Hayashi, Satellite knots in 1-genus 1-bridge positions, Osaka J. Math. 36 (1999), no. 3, 711–729
|
12 |
J. Hoste, M. Thistlethwaite, and J.Weeks, The first 1,701,936 knots, Math. Intelligencer 20 (1998), no. 4, 33–48
|
13 |
D. Kim and E. Lee, Some invariants of pretzel links, arXiv:math.GT0704.1432v1, preprint
|
14 |
W. Menasco, Closed incompressible surfaces in alternating knot and link complements, Topology 23 (1984), no. 1, 37–44
|
15 |
T. Saito, Disjoint pairs of annuli and disks for Heegaard splittings, J. Korean Math. Soc. 42 (2005), no. 4, 773–793
과학기술학회마을
DOI
ScienceOn
|
16 |
C. Adams, J. Brock, J. Bugbee, and et al, Almost alternating links, Topology Appl. 46 (1992), no. 2, 151–165
DOI
ScienceOn
|
17 |
T. Kobayashi, Heights of simple loops and pseudo-Anosov homeomorphisms, Braids (Santa Cruz, CA, 1986), 327–338, Contemp. Math., 78, Amer. Math. Soc., Providence, RI, 1988
|