Link Floer homology and the Thurston norm
Link Floer homology and the Thurston norm
复制标题
Link 弗洛尔同源性和瑟斯顿范数
DOI：
10.1090/s0894-0347-08-00586-9
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发表时间：
2006
影响因子：
3.9
通讯作者：
Z. Szabó
中科院分区：
文献类型：
--
作者：
P. Ozsváth;Z. Szabó
我们发现，链接Floer同源检测瑟斯顿规范的链接互补。作为应用，我们证明了交错链环的Thurston多面体与其多元亚历山大多项式的Newton多面体是对偶的。为了说明这些技术，我们还计算了几个特定的链接互补的瑟斯顿多面体。
We show that link Floer homology detects the Thurston norm of a link complement. As an application, we show that the Thurston polytope of an alternating link is dual to the Newton polytope of its multi-variable Alexander polynomial. To illustrate these techniques, we also compute the Thurston polytopes of several specific link complements.