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Linking Numbers in 3-Manifolds
by
Patricia Cahn
Smith College
Coauthors: Alexandra Kjuchukova
We give an explicit algorithm for computing linking numbers between curves in an irregular dihedral p-fold branched cover of S3. This work extends a combinatorial algorithm by Perko which computes the linking number between the branch curves in the case p=3. Owing to the fact that every closed oriented three-manifold is a dihedral three-fold branched cover of S3, the algorithm given here can be used to compute linking numbers in any three-manifold, provided that the manifold is presented as a dihedral cover of the sphere.
Date received: November 29, 2016
Copyright © 2016 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 # cbnq-32.