Abstract
In 1976 Thurston associated to a –manifold a marked polytope in , which measures the minimal complexity of surfaces representing homology classes and determines all fibered classes in . Recently the first and third authors associated to a presentation with two generators and one relator a marked polytope in and showed that it determines the Bieri–Neumann–Strebel invariant of . We show that if the fundamental group of a –manifold admits such a presentation , then the corresponding marked polytopes in agree.
Citation
Stefan Friedl. Kevin Schreve. Stephan Tillmann. "Thurston norm via Fox calculus." Geom. Topol. 21 (6) 3759 - 3784, 2017. https://doi.org/10.2140/gt.2017.21.3759
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