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Quantum Teichm\"uller space

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arxiv math/9908165 v2 pith:PZ7G6OI5 submitted 1999-08-30 math.QA hep-th

classification math.QAhep-th
keywords spaceteichmulleractionalgebraclassdeformationdescribe
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We describe explicitly a noncommutative deformation of the *-algebra of functions on the Teichm\"uller space of Riemann surfaces with holes equivariant w.r.t. the mapping class group action.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A solvable model of 3d quantum gravity

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    A solvable 3d quantum gravity model is defined by summing Virasoro TQFT copies over all topologies, shown to be dual to a 2d CFT ensemble and to exhibit semiclassical features such as cured negative density of states ...

  2. An observer's quantization of 3d de Sitter

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Proposes an SL(2,Z) sum of Kerr-lens geometries in 3d dS gravity whose spectral density is computed via crosscap amplitudes in CLS ⊗ CLS, matching semi-classical predictions and reducing in a simple case to GΣ ⊗ GΣ on...

  3. Conformal Turaev-Viro Theory

    hep-th 2025-07 conditional novelty 6.0 of 10

    Conformal Turaev-Viro theory is a triangulation-based dual to Virasoro TQFT whose partition function equals the modular S-transform of |Z_Vir|^2.

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