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Irregular dihedral covers of the four-sphere and linking numbers in 3-manifolds
by
Patricia Cahn
Smith College
Coauthors: Alexandra Kjuchukova
We give an algorithm for computing the linking number of two zero-homologous knots in a closed oriented 3-manifold, where the 3-manifold is presented as an irregular 3-fold dihedral cover of S^3 branched along a knot. Our method generalizes an algorithm of Perko. We then describe how these linking numbers, together with a formula of Kjuchukova, can be used to compute signatures of 4-manifolds which are 3-fold irregular dihedral covers of S^4.
Date received: April 25, 2017
Copyright © 2017 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbof-24.