The state sum graph TQFT

Vladimir Turaev,Alexis Virelizier

The state sum graph TQFT

2017

Vladimir Turaev
Alexis Virelizier

We derive from a spherical fusion category with invertible dimension a graph TQFT which applies to colored ribbon graphs in 3-dimensional cobordisms. For cobordisms with empty graphs, we recover the TQFT of Chapter 13.

Keywords:

Combinatorics
Quartic graph
Butterfly graph
Edge-transitive graph
Line graph
Coxeter graph
Voltage graph
String graph
Mathematics
Simplex graph
Null graph
Discrete mathematics
Cubic graph
Petersen graph
Distance-regular graph

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