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- W3041760527 abstract "In his PhD thesis [G. Goosen, Oriented 123-tqfts via string-nets and state-sums, PhD thesis, Stellenbosch University, Stellenbosch (2018)], Goosen combined the string-net and the generators-and-relations formalisms for arbitrary once-extended 3-dimensional topological quantum field theories (TQFTs). In this paper, we work this out in detail for the simplest nontrivial example, where the underlying spherical fusion category is the category of [Formula: see text]-graded vector spaces. This allows us to give an elementary string-net description of the linear maps associated to 3-dimensional bordisms. The string-net formalism also simplifies the description of the mapping class group action in the resulting TQFT. We conclude the paper by performing some example calculations from this viewpoint." @default.
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- W3041760527 date "2020-09-04" @default.
- W3041760527 modified "2023-10-14" @default.
- W3041760527 title "Extended TQFTs via generators and relations I: The extended toric code" @default.
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- W3041760527 doi "https://doi.org/10.1142/s0219199720500546" @default.
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