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Twisted Alexander norms give lower bounds on the Thurston norm
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Friedl, Stefan and Kim, Taehee (2008) Twisted Alexander norms give lower bounds on the Thurston norm. American Mathematical Society. Transactions, Volume 360 (Number 9). pp. 4597-4618. doi:10.1090/S0002-9947-08-04455-3 ISSN 0002-9947.
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Official URL: http://dx.doi.org/10.1090/S0002-9947-08-04455-3
Abstract
We introduce twisted Alexander norms of a compact connected orientable 3-manifold with first Betti number greater 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 are not determined by norms of McMullen and Turaev.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Manifolds (Mathematics) | ||||
Journal or Publication Title: | American Mathematical Society. Transactions | ||||
Publisher: | American Mathematical Society | ||||
ISSN: | 0002-9947 | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Volume 360 | ||||
Number: | Number 9 | ||||
Number of Pages: | 22 | ||||
Page Range: | pp. 4597-4618 | ||||
DOI: | 10.1090/S0002-9947-08-04455-3 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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