Computable Legendrian invariants

Computable Legendrian invariants
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可计算的传奇不变量

DOI:
10.1016/s0040-9383(02)00010-1
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发表时间:
2000
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影响因子:
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通讯作者:
Lenhard L. Ng
Lenhard L. Ng
中科院分区:
--
文献类型:
--
作者:
Lenhard L. Ng

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我们建立工具,以方便计算和应用的Chekanov-Eliashberg微分分次代数(DGA),勒让德的勒让德的结和链接在标准的接触3空间的勒让德的合痕不变量。更具体地说,我们重新制定的DGA的前投影方面,并介绍了特征代数,一个新的不变量来自DGA。我们使用我们的技术来区分几个以前难以区分的勒让德结和链接。
We establish tools to facilitate the computation and application of the Chekanov–Eliashberg differential graded algebra (DGA), a Legendrian-isotopy invariant of Legendrian knots and links in standard contact three space. More specifically, we reformulate the DGA in terms of front projections, and introduce the characteristic algebra, a new invariant derived from the DGA. We use our techniques to distinguish between several previously indistinguishable Legendrian knots and links.