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Milnor's invariants and self  -equivalence
Author(s):
Thomas
Fleming;
Akira
Yasuhara
Journal:
Proc. Amer. Math. Soc.
137
(2009),
761-770.
MSC (2000):
Primary 57M25
Posted:
August 28, 2008
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Abstract:
It has long been known that a Milnor invariant with no repeated index is an invariant of link homotopy. We show that Milnor's invariants with repeated indices are invariants not only of isotopy, but also of self  -equivalence. Here self  -equivalence is a natural generalization of link homotopy based on certain degree  clasper surgeries, which provides a filtration of link homotopy classes.
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Additional Information:
Thomas
Fleming
Affiliation:
Department of Mathematics, University of California San Diego, 9500 Gilman Drive, La Jolla, California 92093-0112
Email:
tfleming@math.ucsd.edu
Akira
Yasuhara
Affiliation:
Department of Mathematics, Tokyo Gakugei University, Koganei-shi, Tokyo 184-8501, Japan
Email:
yasuhara@u-gakugei.ac.jp
DOI:
10.1090/S0002-9939-08-09521-X
PII:
S 0002-9939(08)09521-X
Received by editor(s):
December 4, 2006,
Received by editor(s) in revised form:
February 4, 2008
Posted:
August 28, 2008
Additional Notes:
The first author was supported by a Post-Doctoral Fellowship for Foreign Researchers ($\#$PE05003) from the Japan Society for the Promotion of Science.
The second author is partially supported by a Grant-in-Aid for Scientific Research (C) ($\#$18540071) of the Japan Society for the Promotion of Science.
Communicated by:
Daniel Ruberman
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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