Volume 9, issue 1 (2009)

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

Volume 24
Issue 9, 4731–5219
Issue 8, 4139–4730
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

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
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Classification of string links up to self delta-moves and concordance

Akira Yasuhara

Algebraic & Geometric Topology 9 (2009) 265–275
Bibliography
1 A J Casson, Link cobordism and Milnor's invariant, Bull. London Math. Soc. 7 (1975) 39 MR0362286
2 T D Cochran, Derivatives of links: Milnor's concordance invariants and Massey's products, Mem. Amer. Math. Soc. 84 (1990) MR1042041
3 T Fleming, A Yasuhara, Milnor numbers and the self delta classification of $2$–string links, from: "Intelligence of low dimensional topology 2006" (editors J S Carter, S Kamada, L H Kauffman, A Kawauchi, T Kohno), Ser. Knots Everything 40, World Sci. Publ. (2007) 27 MR2371705
4 T Fleming, A Yasuhara, Milnor's invariants and self $C_k$–equivalence, Proc. Amer. Math. Soc. 137 (2009) 761 MR2448599
5 C H Giffen, Link concordance implies link homotopy, Math. Scand. 45 (1979) 243 MR580602
6 D L Goldsmith, Concordance implies homotopy for classical links in $M^{3}$, Comment. Math. Helv. 54 (1979) 347 MR543335
7 N Habegger, X S Lin, The classification of links up to link-homotopy, J. Amer. Math. Soc. 3 (1990) 389 MR1026062
8 N Habegger, G Masbaum, The Kontsevich integral and Milnor's invariants, Topology 39 (2000) 1253 MR1783857
9 K Habiro, Aru musubime no kyokusyo sousa no zoku ni tuite, dissertation, University of Tokyo (1994)
10 K Habiro, Claspers and finite type invariants of links, Geom. Topol. 4 (2000) 1 MR1735632
11 J Hillman, Algebraic invariants of links, Series on Knots and Everything 32, World Sci. Publ. (2002) MR1932169
12 A Kawauchi, T Shibuya, S Suzuki, Descriptions on surfaces in four-space. I. Normal forms, Math. Sem. Notes Kobe Univ. 10 (1982) 75 MR672939
13 J Milnor, Link groups, Ann. of Math. $(2)$ 59 (1954) 177 MR0071020
14 J Milnor, Isotopy of links. Algebraic geometry and topology, from: "A symposium in honor of S Lefschetz", Princeton Univ. Press (1957) 280 MR0092150
15 H Murakami, Y Nakanishi, On a certain move generating link-homology, Math. Ann. 284 (1989) 75 MR995383
16 Y Nakanishi, Y Ohyama, Delta link homotopy for two component links. III, J. Math. Soc. Japan 55 (2003) 641 MR1978214
17 Y Nakanishi, T Shibuya, Link homotopy and quasi self delta-equivalence for links, J. Knot Theory Ramifications 9 (2000) 683 MR1762762
18 Y Nakanishi, T Shibuya, A Yasuhara, Self delta-equivalence of cobordant links, Proc. Amer. Math. Soc. 134 (2006) 2465 MR2213721
19 T Shibuya, Self $\Delta$–equivalence of ribbon links, Osaka J. Math. 33 (1996) 751 MR1424684
20 T Shibuya, Delta-cobordism and weak self delta-equivalence for links, Mem. Osaka Inst. Tech. Ser. A 52 (2007) 5 MR2363559
21 T Shibuya, Weak self delta-equivalence for links, Kobe J. Math. 24 (2007) 41 MR2348019
22 J Stallings, Homology and central series of groups, J. Algebra 2 (1965) 170 MR0175956
23 A Yasuhara, Self delta–equivalence for links whose Milnor's isotopy invariants vanish, to appear in Trans. Amer. Math. Soc.