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- W4385681351 abstract "For a punctured surface $mathfrak{S}$, the author and Scarinci have recently constructed a quantization of a moduli space of Lorentzian metrics on the 3-manifold $mathfrak{S} times mathbb{R}$ of constant sectional curvature $Lambda in {-1,0,1}$. The invariance of this quantization under the action of the mapping class group ${rm MCG}(mathfrak{S})$ of $mathfrak{S}$ yields families of unitary representations of ${rm MCG}(mathfrak{S})$ on a Hilbert space, with key ingredients being three versions of the quantum dilogarithm functions depending on $Lambda$. In this survey article, we review and elaborate on this result." @default.
- W4385681351 created "2023-08-09" @default.
- W4385681351 creator A5016582329 @default.
- W4385681351 date "2023-08-05" @default.
- W4385681351 modified "2023-10-16" @default.
- W4385681351 title "A trilogy of mapping class group representations from three-dimensional quantum gravity" @default.
- W4385681351 doi "https://doi.org/10.48550/arxiv.2308.02934" @default.
- W4385681351 hasPublicationYear "2023" @default.
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