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Contents
Contents
Cocycle Invariants of Knots
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
Knot Diagrams
Reidemeister Moves
Knotted Surface Diagrams and Their 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
-Cocycle Invariants of Classical Knots
-Cocycle Invariants of Classical Knots
-Cocycle Invariants of Knotted Surfaces