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- W4300363040 abstract "We study when the Thurston norm is detected by twisted Alexander polynomials associated to representations of the 3-manifold group to SL(2, C). Specifically, we show that the hyperbolic torsion polynomial determines the genus for a large class of hyperbolic knots in the 3-sphere which includes all special arborescent knots and many knots whose ordinary Alexander polynomial is trivial. This theorem follows from results showing that the tautness of certain sutured manifolds can be certified by checking that they are a product from the point of view of homology with coefficients twisted by an SL(2, C)-representation." @default.
- W4300363040 created "2022-10-03" @default.
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- W4300363040 date "2015-01-09" @default.
- W4300363040 modified "2023-10-18" @default.
- W4300363040 title "Certifying the Thurston norm via SL(2, C)-twisted homology" @default.
- W4300363040 doi "https://doi.org/10.48550/arxiv.1501.02136" @default.
- W4300363040 hasPublicationYear "2015" @default.
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