Braids and branched coverings of dimension three

2012/06/21 by J. Scott Carter, Carter, J. Scott, Seiichi Kamada +1
Mathematics · Computer Science · #Geometric and Algebraic Topology #Computational Geometry and Mesh Generation #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1206.4744

Abstract

We study simple branched coverings of degree d of the 2- and 3- dimensional sphere branched over oriented links. We demonstrate how to use braid charts to develop embeddings of these into S^k × D² for k=2,3 when d=2,3. This is an initial part of our study and represents the manuscript submitted to the RIMS workshop at Intelligence of Low Dimensional Topology.

Citations

• A classifying invariant of knots, the knot quandle

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