Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lagrangian skeleta, collars and duality   We present a geometric realization of the duality between skeleta in
$T^*\mathbb P^n$ and collars of local surfaces. Such duality is predicted by
combining two auxiliary types of duality: on one side, symplectic duality
between $T^*\mathbb P^n$ and a crepant resolution of the $A_n$ singularity; on
the other side, toric duality between two types of isolated quotient
singularities. We give a correspondence between Lagrangian submanifolds of the
cotangent bundle and vector bundles on collars, and describe those birational
transformations within the skeleton which are dual to deformations of vector
bundles.

31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas