SELF Ck-MOVE, QUASI SELF Ck-MOVE AND THE CONWAY POTENTIAL FUNCTION FOR LINKS
2004 ◽
Vol 13
(07)
◽
pp. 877-893
Keyword(s):
Nakanishi and Shibuya gave a relation between link homotopy and quasi self delta-equivalence. And they also gave a necessary condition for two links to be self delta-equivalent by using the multivariable Alexander polynomial. Link homotopy and quasi self delta-equivalence are also called self C1-equivalence and quasi self C2-equivalence respectively. In this paper, we generalize their results. In Sec. 1, we give a relation between self Ck-equivalence and quasi self Ck+1-equivalence. In Secs. 2 and 3, we give necessary conditions for two links to be self Ck-equivalent by using the multivariable Conway potential function and the Conway polynomial respectively.
2000 ◽
Vol 09
(05)
◽
pp. 683-691
◽
1954 ◽
Vol 6
◽
pp. 186-189
◽
1986 ◽
Vol 13
(1)
◽
pp. 46-52
◽
1998 ◽
Vol 06
(01)
◽
pp. 3-9
◽
1998 ◽
Vol 07
(03)
◽
pp. 405-418
Keyword(s):
2002 ◽
Vol 11
(03)
◽
pp. 353-362
◽
Keyword(s):