Friedl, Stefan and Silver, Daniel S. and Williams, Susan G. (2016) THE TURAEV AND THURSTON NORMS. PACIFIC JOURNAL OF MATHEMATICS, 284 (2). pp. 365-382. ISSN 0030-8730,
Full text not available from this repository. (Request a copy)Abstract
In 1986, W. Thurston introduced a (possibly degenerate) norm on the first cohomology group of a 3-manifold. Inspired by this definition, Turaev introduced in 2002 an analogous norm on the first cohomology group of a finite 2-complex. We show that if N is the exterior of a link in a rational homology sphere, then the Thurston norm agrees with a suitable variation of Turaev's norm defined on any 2-skeleton of N.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GRAPH MANIFOLDS; MINIMAL GENUS; 3-MANIFOLDS; FOLIATIONS; BOUNDARY; TOPOLOGY; Turaev norm; Thurston norm; links; Alexander polynomials |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Stefan Friedl |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 24 Apr 2019 11:39 |
| Last Modified: | 24 Apr 2019 11:39 |
| URI: | https://pred.uni-regensburg.de/id/eprint/4123 |
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