Friedl, Stefan and Lueck, Wolfgang (2019) L-2-Euler characteristics and the Thurston norm. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 118 (4). pp. 857-900. ISSN 0024-6115, 1460-244X
Full text not available from this repository. (Request a copy)Abstract
We assign to a finite CW-complex and an element in its first cohomology group a twisted version of the L2-Euler characteristic and study its main properties. In the case of an irreducible orientable 3-manifold with empty or toroidal boundary and infinite fundamental group we identify it with the Thurston norm. We will use the twisted L2-Euler characteristic to address the problem whether the existence of a map inducing an epimorphism on fundamental groups implies an inequality of the Thurston norms.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ALEXANDER POLYNOMIALS; L-2-ALEXANDER TORSION; REIDEMEISTER TORSION; INVARIANTS; APPROXIMATION; CONJECTURE; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Stefan Friedl |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 20 Apr 2020 05:24 |
| Last Modified: | 20 Apr 2020 05:24 |
| URI: | https://pred.uni-regensburg.de/id/eprint/27276 |
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