These pages describe the research projects on quandle cohomology theory and quandle cocycle knot invariants for classical knots and knotted surfaces.
This material is based upon work supported by the National Science Foundation under Grant No. 0301089. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.
This section contains background information on quandle cocycle invariants for knots, including definitions, applications, and references.
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This section contains quandle cocycle knot invariants calculated with Maple. These invariants are being calculated and updated on a continuous basis. The current collection of invariants can be found at the following link.
Quandle Cocycle Knot Invariants
Database: Quandle Cocycle Knot Invariants. This link will allow you to create a table of quandle cocycle knot invariant values that you choose.
This section contains various programs and data files used for calculating quandle cocycle knot invariants.
ProgramsThis section contains applications obtained by using computational results developed in the above programs.
ApplicationsThese pages are created and maintained by Masahico Saito and Chad Smudde, with help from Scott Carter and Mohamed Elhamdadi. Calculations are based on polynomial cocycles studied by Kheira Ameur in her Ph.D. Dissertation (Dec. 2006, USF). An application in tangle embeddings was a team project, and Tom Rose was a member.