Quantum Modularity for a Closed Hyperbolic 3-Manifold

This paper proves quantum modularity of both functions from ℚ and -series associated to the closed manifold obtained by −1/2 surgery on the figure-eight knot, 4₁(−1, 2). In a sense, this is a companion to the work of Garoufalidis-Zagier, where similar statements were studied in detail for some simpl...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2025
Main Author: Wheeler, Campbell
Format: Article
Language:English
Published: Інститут математики НАН України 2025
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212887
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Quantum Modularity for a Closed Hyperbolic 3-Manifold. Campbell Wheeler. SIGMA 21 (2025), 004, 74 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine