physics, mathematical physics, philosophy of physics
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functorial quantum field theory
Reshetikhin?Turaev model? / Chern-Simons theory
FQFT and cohomology
From 3-modules realized as sesquialgebra, bialgebras, Hopf algebra, quantum groups, fusion categories:
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
Chris Douglas, Chris Schommer-Pries, Noah Snyder, The Structure of Fusion Categories via 3D TQFTs (talk pdf)
Chris Douglas, Chris Schommer-Pries, Noah Snyder, Dualizable tensor categories (arXiv:1312.7188)
Bruce Bartlett, Christopher Douglas, Christopher Schommer-Pries, Jamie Vicary, Extended 3-dimensional bordism as the theory of modular objects (arXiv:1411.0945)
Constructions in the generality of non-semisimple tensor categories:
Last revised on June 24, 2021 at 10:27:02. See the history of this page for a list of all contributions to it.