منابع مشابه
Alexander and Thurston Norms of Graph Links
We show that the Alexander and Thurston norms are the same for all irreducible Eisenbud-Neumann graph links in homology 3-spheres. These are the links obtained by splicing Seifert links in homology 3-spheres together along tori. By combining this result with previous results, we prove that the two norms coincide for all links in S3 if either of the following two conditions are met; the link is ...
متن کاملTwisted Alexander Norms Give Lower Bounds on the Thurston Norm
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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For a 3-manifold M , McMullen derived from the Alexander polynomial of M a norm on H(M,R) called the Alexander norm. He showed that the Thurston norm is an upper bound for the Alexander norm. He asked if these two norms were the same when M fibers over the circle. Here, I give examples that show this is not the case. This question relates to the faithfulness of the Gassner representations of th...
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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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امروزه، این که زبان انگلیسی سریع ترین و گسترده ترین زبان مورد استفاده در سراسر جهان است به عنوان یک واقعیت پذیرفته شده است. استفاده مشترک از زبان انگلیسی به عنوان یک زبان بین المللی مستلزم هنجارها و مدل های یادگیری و تدریس زبان است. زبان شناسان توجه ویژه ای به مفهوم "زبان مادری" به عنوان تنها منبع درست و قابل اعتماد از داده های زبان می داده اند.با این حال، این اصطلاح به اندازه کافی روشن به نظر ...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2016
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2016.284.365