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Casson's invariant and surgery on knots
Journal article   Open access

Casson's invariant and surgery on knots

C. D Frohman and D. D Long
Proceedings of the Edinburgh Mathematical Society, Vol.35(3), pp.383-395
1992
DOI: 10.1017/S0013091500005678
url
https://doi.org/10.1017/S0013091500005678View
Published (Version of record) Open Access

Abstract

We show that given a knot in a homology sphere there is a sequence of invariants with the property that if the n th 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 ).

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