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Thurston norm via Fox calculus

Friedl, Stefan, Schreve, Kevin and Tillmann, Stephan (2017) Thurston norm via Fox calculus. Geometry & Topology 21 (6), pp. 3759-3784.

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Other URL: http://doi.org/10.2140/gt.2017.21.3759


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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Item type:Article
Date:2017
Institutions:Mathematics > Prof. Dr. Stefan Friedl
Identification Number:
ValueType
10.2140/gt.2017.21.3759DOI
Keywords:TWISTED ALEXANDER POLYNOMIALS; ATIYAH CONJECTURE; REIDEMEISTER TORSION; GRAPH MANIFOLDS; NORMAL SURFACES; LOWER BOUNDS; 3-MANIFOLDS; INVARIANTS; NUMBER; THEOREM;
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:38851
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