|
|||||
|
|
Twisted Alexander norms give lower bounds on the Thurston norm |
|
| Authors: | Stefan Friedl Taehee Kim |
| Institution: | Département de Mathématiques, Université du Québec à Montréal, Montréal, Québec, Canada -- and -- Department of Mathematics, University of Warwick, Coventry, United Kingdom ; Department of Mathematics, Konkuk University, Hwayang-dong, Gwangjin-gu, Seoul 143-701, Korea |
| 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. |
| Keywords: | Thurston norm twisted Alexander norm 3-manifolds |
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文 | |