Milnor's invariants and self Ck-equivalence

Thomas Fleming; Akira Yasuhara

doi:10.1090/S0002-9939-08-09521-X

Milnor's invariants and self C_k-equivalence

Thomas Fleming^*, Akira Yasuhara

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

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 C_k - equivalence. Here self C_k-equivalence is a natural generalization of link homotopy based on certain degree k clasper surgeries, which provides a filtration of link homotopy classes.

Original language	English
Pages (from-to)	761-770
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	137
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-08-09521-X
Publication status	Published - 2009 Feb
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-08-09521-X

Cite this

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Milnor's invariants and self C_k-equivalence

Abstract

ASJC Scopus subject areas

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