Computations of quandle cocycle invariants of knotted curves and surfaces

Date

1999

Authors

Journal Title

Journal ISSN

Volume Title

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

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.

URI

http://arxiv.org/abs/math/9906115
 https://hdl.handle.net/11416/950

DOI

Collections

Mathematics