Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Available in electronic format
Available in print format
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

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 $\eta $-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 $\eta $-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 $S^4$, 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 $S^4$, 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




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia