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- W2008974927 abstract "Topological quantum field theories (TQFTs) represent the structure present in cobordism categories. As an example, we review the correspondence between Frobenius algebras and (1+1)TQFTs. It is a corollary of the self-duality of the cobordism category, which is a rigid monoidal category generated by a Frobenius object (the circle). A self-dual definition of a Frobenius object without the use of a prefered dual is considered. The issue of duality as part of the definition of a TQFT is addressed. Note that duality is preserved by monoidal functors. Hermitian structures are modeled as a conjugation compatible with duality. It is the structure cobordism categories posses. A definition of generalized cobordism categories is proposed." @default.
- W2008974927 created "2016-06-24" @default.
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- W2008974927 date "2004-12-01" @default.
- W2008974927 modified "2023-09-27" @default.
- W2008974927 title "A NOTE ON DUALITY, FROBENIUS ALGEBRAS AND TQFTS" @default.
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- W2008974927 doi "https://doi.org/10.1142/s0218216504003676" @default.
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