Geometry & Topology
- Geom. Topol.
- Volume 21, Number 2 (2017), 1231-1274.
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.
Geom. Topol., Volume 21, Number 2 (2017), 1231-1274.
Received: 30 October 2015
Revised: 6 March 2016
Accepted: 23 April 2016
First available in Project Euclid: 16 November 2017
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Nadler, David. Arboreal singularities. Geom. Topol. 21 (2017), no. 2, 1231--1274. doi:10.2140/gt.2017.21.1231. https://projecteuclid.org/euclid.gt/1510859178