词条 | Spherical category |
释义 |
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] References1. ^{{cite journal|journal=Advances in Mathematics|volume=143|issue=2|pages=357–375|year=1999|title=Spherical Categories|authors=John W. Barrett, Bruce W. Westbury|accessdate=|doi=10.1006/aima.1998.1800|arxiv=hep-th/9310164}} {{categorytheory-stub}}2. ^{{cite web|title=Turaev-Viro model|url=https://ncatlab.org/nlab/show/Turaev-Viro+model|website=nLab|accessdate=7 August 2017}} 1 : Category theory |
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