|
Kojima's eta-function for manifold links in higher dimensions
Author(s):
Gui-Song
Li
Journal:
Proc. Amer. Math. Soc.
125
(1997),
293-299.
MSC (1991):
Primary 57Q45
MathSciNet review:
1396986
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
Kojima's -function is generalized to give a new concordance invariant for certain two-component manifold links in higher dimensions. Examples are given of manifold links successfully distinguished by this generalized -function but not by their Cochran derived invariants.
References:
- [1]
- T. Cochran, Geometric invariants of link cobordism, Comment. Math. Helv. 60 (1985), 291-311. MR 87f:57021
- [2]
- D. Goldsmith, A linking invariant of classical link concordance, Lecture Notes in Mathematics, vol. 685, Springer-Verlag, Berlin and New York, 1978, pp. 135-170. MR 80h:57005
- [3]
- S. Kojima and M. Yamasaki, Some new invariants of links, Invent. Math. 54 (1979), 213-228. MR 81b:57004
- [4]
- H. Laufer, Some numerical link invariants, Topology 10 (1971), 119-130. MR 42:8473
- [5]
- J. Levine, Knot modules I, Trans. Amer. Math. Soc. 229 (1977), 1-50. MR 57:1503
- [6]
- J. Milnor, Isotopy of links, Algebraic Geometry and Topology: A Symposium in Honor of S. Lefshetz, Princeton University Press, Princeton, NJ, 1957, pp. 280-306. MR 19:1070c
- [7]
- J. Milnor, Infinite cyclic coverings, Conference on the Topology of Manifolds, Prindle, Weber, and Schmit, Boston, MA, 1968, pp. 115-133. MR 39:3497
- [8]
- K. Orr, Link concordance invariants and Massey products, Topology 30 (1991), 699-710. MR 93a:57025
- [9]
- D. Ruberman, Concordance of links in
, Four Manifold Theory, Contemporary Mathematics, vol. 35, Amer. Math. Soc., Providence, RI, 1984, pp. 481-483. MR 86g:57017 - [10]
- M. Saito, A note on cobordism of surface links in
, Proc. Amer. Math. Soc. 111 (1991), 883-887. MR 92a:57027 - [11]
- N. Sato, Cobordisms of semi-boundary links, Topology Appl. 18 (1984), 225-234. MR 86d:57010
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (1991):
57Q45
Retrieve articles in all Journals with
MSC (1991):
57Q45
Additional Information:
Gui-Song
Li
Affiliation:
Institute of Systems Science, Academia Sinica, Beijing 100080, China
Email:
lgs@iss06.iss.ac.cn
DOI:
10.1090/S0002-9939-97-03889-6
PII:
S 0002-9939(97)03889-6
Keywords:
Manifold links,
concordance,
generalized $\eta$-function
Received by editor(s):
July 11, 1995
Communicated by:
Ronald Stern
Copyright of article:
Copyright
1997,
American Mathematical Society
|