nLab Kirby calculus

Contents

Theorems

Knot theory

knot theory

Examples/classes:

Types

knot invariants

Related concepts:

category: knot theory

Contents

Idea

What is called Kirby calculus is a way of identifying/classifying 3-manifolds in terms of Dehn surgery along links in the 3-sphere.

References

The original article is

• Rob Kirby, A Calculus for Framed Links in $S^3$. Inventiones Mathematicae, vol. 45 (1978), pp. 35–56 (dml:142535)