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Twisted Alexander norms give lower bounds on the Thurston norm | | Stefan Friedl
; Taehee Kim
; | | Date: |
31 May 2005 | | Subject: | Geometric Topology MSC-class: 57M27 | math.GT | | 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. | | Source: | arXiv, math.GT/0505682 | | Services: | Forum | Review | PDF | Favorites | |
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