Liouville central charge in quantum Teichmuller theory

Abstract

In the quantum Teichmuller theory, based on Penner coordinates, the mapping class groups of punctured surfaces are represented projectively. The case of a genus three surface with one puncture is worked out explicitly. The projective factor is calculated. It is given by the exponential of the Liouville central charge.

11 pages, 8 built in figures, latex2e

References in corpus (5)

• The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
• Discrete Heisenberg-Weyl Group and Modular Group
• Hirota equation as an example of integrable symplectic map
• Dual Teichm\" uller spaces
• A Presentation of the Mapping Class Groups

Cited by in corpus (7)

• Strongly coupled quantum discrete Liouville theory. I: Algebraic approach and duality
• An analog of a modular functor from quantized Teichm"uller theory
• On Quantizing Teichmüller and Thurston theories
• The pentagon relation and incidence geometry
• Lambda<0 Quantum Gravity in 2+1 Dimensions I: Quantum States and Stringy S-Matrix
• Volkov's Pentagon for the Modular Quantum Dilogarithm
• Finite dimensional quantum Teichmüller space from the quantum torus at root of unity