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Perturbative invariants of cusped hyperbolic 3-manifolds

MPS-Authors
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Storzer,  Matthias
Max Planck Institute for Mathematics, Max Planck Society;

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Wheeler,  Campbell
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.48550/arXiv.2305.14884
(Preprint)

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Fulltext (public)

2305.14884v2
(Preprint), 532KB

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Citation

Garoufalidis, S., Storzer, M., & Wheeler, C. (submitted). Perturbative invariants of cusped hyperbolic 3-manifolds.


Cite as: https://hdl.handle.net/21.11116/0000-000F-C42D-2
Abstract
We prove that a formal power series associated to an ideally triangulated cusped hyperbolic 3-manifold (together with some further choices) is a topological invariant. This formal power series is conjectured to agree to all orders in perturbation theory with two important topological invariants of hyperbolic knots, namely the Kashaev invariant and the Andersen--Kashaev invariant (also known as the state-integral) of Teichmüller TQFT.