The L-2-Alexander torsion of 3-manifolds

Dubois, Jerome and Friedl, Stefan and Lueck, Wolfgang (2016) The L-2-Alexander torsion of 3-manifolds. JOURNAL OF TOPOLOGY, 9 (3). pp. 889-926. ISSN 1753-8416, 1753-8424

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Abstract

We introduce L-2-Alexander torsions for 3-manifolds, which can be viewed as a generalization of the L-2-Alexander invariant of Li-Zhang. We state the L-2-Alexander torsions for graph manifolds and we partially compute them for fibered manifolds. We furthermore show that, given any irreducible 3-manifold there exists a coefficient system such that the corresponding L-2-torsion detects the Thurston norm.

Item Type: Article
Uncontrolled Keywords: TWISTED ALEXANDER POLYNOMIALS; REIDEMEISTER TORSION; INVARIANT DETECTS; WHITEHEAD TORSION; GRAPH MANIFOLDS; THURSTON NORM; APPROXIMATION; KNOTS; L(2)-INVARIANTS; CONJECTURE;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Stefan Friedl
Depositing User: Dr. Gernot Deinzer
Date Deposited: 04 Apr 2019 11:57
Last Modified: 04 Apr 2019 11:57
URI: https://pred.uni-regensburg.de/id/eprint/3391

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