There are two main classes of 3D topological field theories: Turaev–Viro theories, associated to fusion categories, and Reshetikhin–Turaev theories, associated to modular tensor categories. Since the groundbreaking work by Lurie on the cobordism...

George Shiber
335d ago

Very deep question, mathematically and philosophically, with deep ramifications for physics:
"What does Chern–Simons theory assign to a point?” and “What kind of mathematical object does Chern–Simons theory assign to a point?”
pnas.org/content/114/51…
arxiv.org/pdf/0808.2507.… pic.twitter.com/qRn10kUKPJ

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