Ben Aribi, Fathi and Friedl, Stefan and Herrmann, Gerrit (2022) The leading coefficient of the L²-Alexander torsion. ANNALES DE L INSTITUT FOURIER, 72 (5). pp. 1993-2035. ISSN 0373-0956, 1777-5310
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | THURSTON NORM; INVARIANT; VOLUME; L-2-invariants; 3-manifolds; Thurston norm |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Stefan Friedl |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Feb 2024 11:31 |
| Last Modified: | 15 Feb 2024 11:31 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57604 |
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