On the quantum Teichm\"uller invariants of fibred cusped 3-manifolds

Baseilhac Stephane; Benedetti Riccardo

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arXiv · 1704.05667

On the quantum Teichm\"uller invariants of fibred cusped 3-manifolds

Baseilhac Stephane·Benedetti Riccardo

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Abstract

We show that the reduced quantum hyperbolic invariants of pseudo-Anosov diffeomorphisms of punctured surfaces are intertwiners of local representations of the quantum Teichm\"uller spaces. We characterize them as the only intertwiners that satisfy certain natural cut-and-paste operations of topological quantum field theories and such that their traces define invariants of mapping tori.

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BibTeX RIS

Baseilhac Stephane, Benedetti Riccardo. 2017-04-19. On the quantum Teichm\"uller invariants of fibred cusped 3-manifolds. https://arxiv.org/abs/1704.05667

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