**Linked from http://shell.cas.usf.edu/quandle**

- Contents
- Introduction
- What are these web pages about
- Target readers
- Other sources of data used in our calculations
- Comments on history

- Knot Diagrams and Reidemeister Moves

- Quandles and Their Colorings of Knot Diagrams
- Racks and Quandles
- Colorings of Knot Diagrams by Quandles
- Colorings of Knotted Surface Diagrams by Quandles

- Quandle Cocycle Invariants of Knots
- Quandle -Cocycle Invariants of Classical Knots
- Quandle -Cocycle Invariants of Classical Knots
- Quandle -Cocycle Invariants of Knotted Surfaces
- Polynomial Quandle Cocycles
- Quandle Cocycle Invariants with Actions on Coefficients

- Applications of Cocycle Invariants
- Extensions of Colorings
- Chirality of knots and graphs
- Colored chirality of knots
- Minimal number of type III Reidemeister moves
- Tangle embeddings
- Non-invertibility of knotted surfaces
- Minimal number of triple points on knotted surface projections
- Minimal number of broken sheets in knotted surface diagrams
- Ribbon concordance

- Bibliography
- About this document ...

Masahico Saito - Quandle Website 2006-09-19