PIRSA:15100109

(3+1)-TQFTs from G-crossed braided fusion categories and their lattice realization

Wang, Z. (2015). (3+1)-TQFTs from G-crossed braided fusion categories and their lattice realization. Perimeter Institute. https://pirsa.org/15100109

Wang, Zhenghan. (3+1)-TQFTs from G-crossed braided fusion categories and their lattice realization. Perimeter Institute, Oct. 23, 2015, https://pirsa.org/15100109 

          @misc{ pirsa_PIRSA:15100109,
            doi = {10.48660/15100109},
            url = {https://pirsa.org/15100109},
            author = {Wang, Zhenghan},
            keywords = {Condensed Matter},
            language = {en},
            title = {(3+1)-TQFTs from G-crossed braided fusion categories and their lattice realization},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {oct},
            note = {PIRSA:15100109 see, \url{https://pirsa.org}}
          }

Zhenghan Wang

Microsoft Corporation

Talk number
PIRSA:15100109
Collection
Talk Type
Abstract
Unitary fusion categories are the algebraic input for the Turaev-Viro (TV) type TQFTs in (2+1)-dimensions and their Hamiltonian realization for the Levin-Wen model. We are interested in a generalization to unitary 2-fusion category for (3+1)-dimensions. Mackaay's spherical 2-categories are not general enough to include interesting examples such as the G-crossed braided fusion categories and general homotopy 2-types. We will discussion new (3+1)-TQFTs with G-crossed braided fusion categories as input, and their lattice realization based on the thesis work of Shawn X. Cui.