Friedl, Stefan and Schreve, Kevin and Tillmann, Stephan (2017) Thurston norm via Fox calculus. GEOMETRY & TOPOLOGY, 21 (6). pp. 3759-3784. ISSN 1465-3060, 1364-0380
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In 1976 Thurston associated to a 3-manifold N a marked polytope in H-1 (N; R), which measures the minimal complexity of surfaces representing homology classes and determines all fibered classes in H-1 (N; R). Recently the first and third authors associated to a presentation pi with two generators and one relator a marked polytope in H-1 (pi; R) and showed that it determines the Bieri-Neumann-Strebel invariant of pi. We show that if the fundamental group of a 3-manifold N admits such a presentation pi, then the corresponding marked polytopes in H-1 (N; R) = H-1 (pi; R) agree.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | TWISTED ALEXANDER POLYNOMIALS; ATIYAH CONJECTURE; REIDEMEISTER TORSION; GRAPH MANIFOLDS; NORMAL SURFACES; LOWER BOUNDS; 3-MANIFOLDS; INVARIANTS; NUMBER; THEOREM; |
| 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: | 21 Feb 2019 06:56 |
| URI: | https://pred.uni-regensburg.de/id/eprint/636 |
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