The leading coefficient of the L^2-Alexander torsion

Ben Aribi, Fathi;Friedl, Stefan;Herrmann, Gerrit
(2021) Institut Fourier. Annales — Vol. np, n° np, p. 33 (2021)

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Authors
  • Ben Aribi, FathiUCLouvain
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  • Friedl, Stefan
    Author
  • Herrmann, Gerrit
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Abstract
We give upper and lower bounds on the leading coefficients of the L^2-Alexander torsions of a 3-manifold M in terms of hyperbolic volumes and of relative L^2-torsions of sutured manifolds obtained by cutting M along certain surfaces. We prove that for numerous families of knot exteriors the lower and upper bounds are equal, notably for exteriors of 2-bridge knots. In particular we compute the leading coefficient explicitly for 2-bridge knots.
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Ben Aribi, F., Friedl, S., & Herrmann, G. (2021). The leading coefficient of the L^2-Alexander torsion. Institut Fourier. Annales, np(np), 33. https://hdl.handle.net/2078.5/112199 (Original work published 2021)