Volume 8, issue 3 (2008)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Moves and invariants for knotted handlebodies

Atsushi Ishii

Algebraic & Geometric Topology 8 (2008) 1403–1418
Bibliography
1 J S Carter, D Jelsovsky, S Kamada, L Langford, M Saito, Quandle cohomology and state-sum invariants of knotted curves and surfaces, Trans. Amer. Math. Soc. 355 (2003) 3947 MR1990571
2 J S Carter, S Kamada, M Saito, Geometric interpretations of quandle homology, J. Knot Theory Ramifications 10 (2001) 345 MR1825963
3 R Fenn, C Rourke, Racks and links in codimension two, J. Knot Theory Ramifications 1 (1992) 343 MR1194995
4 Y Ishii, A Yasuhara, Color invariant for spatial graphs, J. Knot Theory Ramifications 6 (1997) 319 MR1457191
5 D Joyce, A classifying invariant of knots, the knot quandle, J. Pure Appl. Algebra 23 (1982) 37 MR638121
6 S Kamada, Knot invariants derived from quandles and racks, from: "Invariants of knots and $3$–manifolds (Kyoto, 2001)", Geom. Topol. Monogr. 4, Geom. Topol. Publ. (2002) 103 MR2002606
7 L H Kauffman, Invariants of graphs in three-space, Trans. Amer. Math. Soc. 311 (1989) 697 MR946218
8 A Kawauchi, A survey of knot theory, Birkhäuser Verlag (1996) MR1417494
9 S Kinoshita, Alexander polynomials as isotopy invariants. I, Osaka Math. J. 10 (1958) 263 MR0102819
10 S Kinoshita, Alexander polynomials as isotopy invariants. II, Osaka Math. J 11 (1959) 91 MR0110101
11 F Luo, On Heegaard diagrams, Math. Res. Lett. 4 (1997) 365 MR1453066
12 S V Matveev, Distributive groupoids in knot theory, Mat. Sb. $($N.S.$)$ 119(161) (1982) 78, 160 MR672410
13 J McAtee, D S Silver, S G Williams, Coloring spatial graphs, J. Knot Theory Ramifications 10 (2001) 109 MR1822144
14 T Mituhisa, Abstraction of symmetric transformations, Tôhoku Math. J. 49 (1943) 145 MR0021002
15 E E Moise, Affine structures in $3$–manifolds. V. The triangulation theorem and Hauptvermutung, Ann. of Math. $(2)$ 56 (1952) 96 MR0048805
16 S. Satoh, Quandle cocycle invariants of knotted graphs, preprint
17 S Suzuki, On linear graphs in $3$–sphere, Osaka J. Math. 7 (1970) 375 MR0279799
18 S Suzuki, Alexander ideals of graphs in the $3$–sphere, Tokyo J. Math. 7 (1984) 233 MR752125
19 F Waldhausen, Heegaard-Zerlegungen der $3$–Sphäre, Topology 7 (1968) 195 MR0227992
20 D N Yetter, Category theoretic representations of knotted graphs in $\mathbf{S}^3$, Adv. Math. 77 (1989) 137 MR1020582