Скачать или смотреть Weinstein manifolds as cotangent bundles of arboreal spaces - Yakov Eliashberg

Stony Brook Mathematics Colloquium
Yakov Eliashberg, Stanford University
November 12, 2020


Weinstein manifolds are symplectic reincarnations of affine (Stein) complex manifolds. An important example of a Weinstein manifold is a cotangent bundle of a smooth manifold. It turns out that under a certain (almost) necessary condition on its tangent bundle, a general Weinstein manifold could be viewed as a cotangent bundle of an arboreal space, a stratified space with a finite set of canonical charts. As in the case of a cotangent bundle, the smooth topology of an arboreal space determines symplectic topology of the corresponding Weinstein manifold. In the talk I will discuss a joint work with Daniel Alvarez-Gavela and David Nadler devoted to the construction of arboreal skeleta and their properties.