Multisections, the pants complex, and Weinstein manifolds

Geometry Topology Seminar
Monday, December 5, 2022 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Gabriel Islambouli – UC Davis – islambouli@ucdavis.edu
Austin Christian

We introduce a decomposition of a 4-manifold called a multisection, which is a mild generalization of a trisection. We show that these correspond to loops in the pants complex and provide an equivalence between closed smooth 4-manifolds and loops in the pants complex up to certain moves. In another direction, we will consider multisections with boundary and show that these can be made compatible with a Weinstein structure, so that any Weinstein 4-manifold can be presented as a collection of curves on a surface.