Euclidean Mahler measure and twisted links
Euclidean Mahler measure and twisted links
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欧几里得马勒测量和扭曲链接
DOI：
10.2140/agt.2006.6.581
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发表时间：
2004
影响因子：
0.7
通讯作者：
Susan G. Williams
中科院分区：
文献类型：
--
作者：
D. Silver;A. Stoimenow;Susan G. Williams
如果有向交替链环图集合的扭数是有界的，则相应链环的Alexander多项式有界欧几里德·马勒测度(见定义1.2)。相反的断言并不成立。类似地，如果不一定交替的有向链图的集合具有有界扭数，则相应链环的Jones多项式和2元Homflypt多项式的参数化都具有有界的Mahler测度。
If the twist numbers of a collection of oriented alternating link diagrams are bounded, then the Alexander polynomials of the corresponding links have bounded euclidean Mahler measure (see Definition 1.2). The converse assertion does not hold. Similarly, if a collection of oriented link diagrams, not necessarily alternating, have bounded twist numbers, then both the Jones polynomials and a parametrization of the 2-variable Homflypt polynomials of the corresponding links have bounded Mahler measure.