Friedl, Stefan (2017) Novikov homology and non-commutative Alexander polynomials. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 26 (2): 1740013. ISSN 0218-2165, 1793-6527
Full text not available from this repository. (Request a copy)Abstract
In the early 2000' s Cochran and Harvey introduced non-commutative Alexander polynomials for 3-manifolds. Their degrees give strong lower bounds on the Thurston norm. In this paper, we make the case that the vanishing of a certain Novikov-Sikorav homology module is the correct notion of a monic non-commutative Alexander polynomial. Furthermore we will use the opportunity to give new proofs of several statements about Novikov-Sikorav homology in the three-dimensional context.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | THURSTON NORM; REIDEMEISTER TORSION; FIBERED 3-MANIFOLDS; LOWER BOUNDS; INVARIANTS; DUALITY; RINGS; MANIFOLDS; MODULES; THEOREM; Novikov homology; non-commutative Alexander polynomials; Thurston norm |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Stefan Friedl |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:01 |
| Last Modified: | 20 Feb 2019 10:17 |
| URI: | https://pred.uni-regensburg.de/id/eprint/446 |
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