Computations of quandle cocycle invariants of knotted curves and surfaces
Computations of quandle cocycle invariants of knotted curves and surfaces
Date
1999
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Authors
Carter, J. Scott
Jelsovsky, Daniel
Kamada, Seiichi
Saito, Masahico
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Publisher
Cornell Tech
Abstract
State-sum invariants for knotted curves and surfaces using quandle cohomology were introduced by Laurel Langford and the authors in math.GT/9903135 In this paper we present methods to compute the invariants and sample computations. Computer calculations of cohomological dimensions for some quandles are presented. For classical knots, Burau representations together with Maple programs are used to evaluate the invariants for knot table. For knotted surfaces in 4-space, movie methods and surface braid theory are used. Relations between the invariants and symmetries of knots are discussed.
Description
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Working Paper
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Keywords
Research Subject Categories::MATHEMATICS
Citation
arter, J. S., Jelsovsky, D., Kamada, S., & Saito, M. (1999). Computations of Quandle Cocycle Invariants of Knotted Curves and Surfaces.