Twisted Alexander norms give lower bounds on the Thurston norm
Abstract
Description
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.
24 pages, accepted for publicaton by the Transactions of the AMS
24 pages, accepted for publicaton by the Transactions of the AMS