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  Perturbative invariants of cusped hyperbolic 3-manifolds

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

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Item Permalink: https://hdl.handle.net/21.11116/0000-000F-C42D-2 Version Permalink: https://hdl.handle.net/21.11116/0000-000F-C42E-1
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2305.14884v2.pdf (Preprint), 532KB
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https://doi.org/10.48550/arXiv.2305.14884 (Preprint)
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 Creators:
Garoufalidis, Stavros, Author
Storzer, Matthias1, Author           
Wheeler, Campbell1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: High Energy Physics - Theory
 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.

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Language(s): eng - English
 Dates: 2023-05-24
 Publication Status: Submitted
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 Rev. Type: No review
 Identifiers: arXiv: 2305.14884
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