Twisted Alexander norms give lower bounds on the Thurston norm

Stefan Friedl; Taehee Kim

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Twisted Alexander norms give lower bounds on the Thurston norm

Stefan Friedl·Taehee Kim

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Abstract

We introduce twisted Alexander norms of a compact connected orientable 3-manifold with first Betti number bigger than one generalizing norms of McMullen and Turaev. We show that twisted Alexander norms give lower bounds on the Thurston norm of a 3-manifold. Using these we completely determine the Thurston norm of many 3-manifolds which can not be determined by norms of McMullen and Turaev.

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BibTeX RIS

Stefan Friedl, Taehee Kim. 2006-03-29. Twisted Alexander norms give lower bounds on the Thurston norm. https://arxiv.org/abs/math/0505682

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