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Thurston norm via Fox calculus

Friedl, Stefan ; Schreve, Kevin ; Tillmann, Stephan



Abstract

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 ...

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