Arboreal Singularities
Arboreal Singularities
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树栖奇点
DOI：
10.2140/gt.2017.21.1231
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发表时间：
2013
影响因子：
0.6
通讯作者：
D. Nadler
中科院分区：
文献类型：
--
作者：
D. Nadler
本文引入辛流形的拉格朗日列的一类组合奇点。每个奇点的链接是一个有限的正则胞腔复同伦等价于一束球。它由它的面偏序集确定，面偏序集是从树（非空有限非循环图）开始自然构造的。树的根顶点的选择导致奇点沿着树的边缘的取向沿着的自然前投影。微局部层沿着奇点，通过前投影计算，是等价于模的有向树给出的。
We introduce a class of combinatorial singularities of Lagrangian skeleta of symplectic manifolds. The link of each singularity is a finite regular cell complex homotopy equivalent to a bouquet of spheres. It is determined by its face poset which is naturally constructed starting from a tree (nonempty finite acyclic graph). The choice of a root vertex of the tree leads to a natural front projection of the singularity along with an orientation of the edges of the tree. Microlocal sheaves along the singularity, calculated via the front projection, are equivalent to modules over the quiver given by the directed tree.