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Twisted Reidemeister torsion, the Thurston norm and fibered manifolds

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Abstract

We prove that the twisted Reidemeister torsion of a 3-manifold corresponding to a fibered class is monic and we show that it gives lower bounds on the Thurston norm. The former fixes a flawed proof in Friedl and Vidussi (2010), the latter gives a quick alternative argument for the main theorem of Friedl and Kim (Topology 45:929–953, 2006).

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Acknowledgments

We are grateful to Wolfgang Lück for pointing out the flawed argument in [5]. We also wish to thank Jérôme Dubois for helpful conversations and we are grateful to the referee for very carefully proofreading the paper.

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  1. Mathematisches Institut, Universität zu Köln, Cologne, Germany

    Stefan Friedl

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  1. Stefan Friedl
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Correspondence to Stefan Friedl.

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Friedl, S. Twisted Reidemeister torsion, the Thurston norm and fibered manifolds. Geom Dedicata 172, 135–145 (2014). https://doi.org/10.1007/s10711-013-9911-9

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  • DOI: https://doi.org/10.1007/s10711-013-9911-9

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