nLab
3d TQFT

Context

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

Functorial quantum field theory

Contents

Idea

TQFT of dimension 3.

Constructions

From 3-modules realized as sesquialgebra, bialgebras, Hopf algebra, quantum groups, fusion categories:

Examples

References

  • Kevin Walker, On Witten’s 3-manifold invariants (1991) pdf

  • Scott Carter, Louis Kauffman, Masahico Saito, Diagrams, Singularities, and Their Algebraic Interpretations, in “10th Brazilian Topology Meeting, S. Carlos, July 22 26, 1996 (pdf)

Discussion via the cobordism hypothesis with fusion categories as fully dualizable objects is in

Revised on November 17, 2014 23:18:23 by Urs Schreiber (217.155.201.6)