Dubois, Jerome and Friedl, Stefan and Lueck, Wolfgang (2015) The L-2-Alexander torsions of 3-manifolds. COMPTES RENDUS MATHEMATIQUE, 353 (1). pp. 69-73. ISSN 1631-073X, 1778-3569
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The aim of this note is to introduce L-2-Alexander torsions for 3-manifolds (which are generalizations of the usual Alexander polynomial and also of the L-2-Alexander invariant defined by Li and Zhang [7]) and to report on calculations for graph manifolds and fibered 3-manifolds. We further announce that given any irreducible 3-manifold, there exists a coefficient system such, that the corresponding L-2-Alexander torsion detects the Thurston norm. Finally we also state a symmetry formula. (C) 2014 Published by Elsevier Masson SAS on behalf of Academie des sciences.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | INVARIANT; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Stefan Friedl |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 02 Aug 2019 09:38 |
| Last Modified: | 02 Aug 2019 09:38 |
| URI: | https://pred.uni-regensburg.de/id/eprint/6321 |
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