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A Seifert-matrix interpretation of Cappell and Shaneson's approach to link cobordisms

Published online by Cambridge University Press:  24 October 2008

Ki Hyoung Ko
Ki Hyoung Ko
Affiliation:
Department of Mathematics, Korea Institute of Technology, Taejon., 305-701, Korea
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Extract

We classified the set of Fm-cobordism classes of Fm-links by their Seifert matrices in [5]. On the other hand Cappell and Shaneson identified them with essentially a quotient group of their homology surgery obstruction group [2]. In this paper, we will find a description of their surgery obstruction in terms of a Seifert matrix. In relation to Ledimet's recent results [7], we hope this might provide some clue to whether Fm-cobordism or boundary cobordism is stronger than ordinary link cobordism. It also seems to be an interesting algebraic question to find an algorithm for obtaining a Seifert matrix from their surgery obstruction.

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Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 106 , Issue 3 , November 1989 , pp. 531 - 545
Copyright
Copyright © Cambridge Philosophical Society 1989

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References

REFERENCES

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