Augmentations and Rulings of Legendrian Links
Augmentations and Rulings of Legendrian Links
复制标题
传奇链接的增强和规则
DOI：
10.4310/jsg.2016.v14.n4.a5
复制
发表时间：
2014
影响因子：
0.7
通讯作者：
C. Leverson
中科院分区：
文献类型：
--
作者：
C. Leverson
对于Pr，ker Pdz-Λydxqq中的任一Legendrian纽结́，我们证明了其上Chekanov-Eliashberg可微分次代数任意域的增广的存在等价于前图规则的存在，推广了Fuchs，Ishkhanov和Sabloff的结果.我们还证明了任何偶数分次增广必将t发送到́1。
For any Legendrian knot Λ in pR, ker pdz ́ydxqq, we show that the existence of an augmentation to any field of the Chekanov-Eliashberg differential graded algebra over Zrt, ts is equivalent to the existence of a ruling of the front diagram, generalizing results of Fuchs, Ishkhanov, and Sabloff. We also show that any even graded augmentation must send t to ́1.