Spherical category

From HandWiki

In category theory, a branch of mathematics, a spherical category is a pivotal category (a monoidal category with traces) in which left and right traces coincide.[1] Spherical fusion categories give rise to a family of three-dimensional topological state sum models (a particular formulation of a topological quantum field theory), the Turaev-Viro model, or rather Turaev-Viro-Barrett-Westbury model.[2]

References

  1. John W. Barrett; Bruce W. Westbury (1999). "Spherical Categories". Advances in Mathematics 143 (2): 357–375. doi:10.1006/aima.1998.1800. 
  2. "Turaev-Viro model". https://ncatlab.org/nlab/show/Turaev-Viro+model.