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- W4309441920 abstract "We construct two-dimensional non-commutative topological quantum field theories (TQFTs), one for each Hecke algebra corresponding to a finite Coxeter system. These TQFTs associate an invariant to each ciliated surface, which is a Laurent polynomial for punctured surfaces. There is a graphical way to compute the invariant using minimal colored graphs. We give explicit formulas in terms of the Schur elements of the Hecke algebra and prove positivity properties for the invariants when the Coxeter group is of classical type, or one of the exceptional types $H_3$, $E_6$ and $E_7$." @default.
- W4309441920 created "2022-11-27" @default.
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- W4309441920 date "2021-05-20" @default.
- W4309441920 modified "2023-09-29" @default.
- W4309441920 title "Topological quantum field theories from Hecke algebras" @default.
- W4309441920 doi "https://doi.org/10.48550/arxiv.2105.09622" @default.
- W4309441920 hasPublicationYear "2021" @default.
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