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Casson's invariant and surgery on knots

Published online by Cambridge University Press:  20 January 2009

C. D. Frohman  and
D. D. Long
C. D. Frohman
Affiliation:
University of Iowa, Iowa City, Iowa 52242U.S.A.
D. D. Long
Affiliation:
University of California, Santa Barbara, CA. 93106U.S.A.
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Abstract

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We show that given a knot in a homology sphere there is a sequence of invariants with the property that if the nth invariant does not vanish, then this implies the existence of a family of irreducible representations of the fundamental group of the complement of the knot into SU(n).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 35 , Issue 3 , October 1992 , pp. 383 - 395
Copyright
Copyright © Edinburgh Mathematical Society 1992

References

REFERENCES

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