论文标题
在高维度的非几何增强上
On non-geometric augmentations in high dimensions
论文作者
论文摘要
在本说明中，我们构建了某些高维传统submanifolds的Chekanov-Eliashberg代数的增强，这些代数不是由精确的Lagrangian填充物引起的。我们使用的精确拉格朗日填充物存在的障碍物是Seidel的同构和Gao和Rutherford证明的相应增强品种之间的一定代数图的注入性。此外，在此过程中，我们讨论了Legendrian Submanifolds的增强品种及其球形旋转之间的关系。
In this note we construct augmentations of Chekanov-Eliashberg algebras of certain high dimensional Legendrian submanifolds that are not induced by exact Lagrangian fillings. The obstructions to the existence of exact Lagrangian fillings that we use are Seidel's isomorphism and the injectivity of a certain algebraic map between the corresponding augmentation varieties proven by Gao and Rutherford. In addition, along the way we discuss the relation between augmentation varieties of Legendrian submanifolds and their spherical spuns.
