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Covering Linkage Invariants

Published online by Cambridge University Press:  20 November 2018

Richard Hartley  and
Kunio Murasugi
Richard Hartley
Affiliation:
University of Toronto, Toronto, Ontario
Kunio Murasugi
Affiliation:
University of Toronto, Toronto, Ontario
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Let K be a knot in a manifold M. Corresponding to a representation of Π1(M — K) into a transitive group of permutations there is a branched covering space of M. K is covered by which may be a link of several components. The set of linking numbers between the various components of has long been recognised as a useful knot invariant. Bankwitz and Schumann used this invariant in considering dihedral coverings of Viergeflechte.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 6 , 01 December 1977 , pp. 1312 - 1339
Copyright
Copyright © Canadian Mathematical Society 1977

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