Multisecting smooth manifolds

Delphine Moussard (Institut de Mathématiques de Marseille)

Monday 28th February, 2022 16:00-17:00 Online + Maths 110

Abstract

We will consider a notion of multisection for smooth closed manifolds which generalizes Heegaard splittings of 3-manifolds and Gay-Kirby trisections of smooth 4-manifolds: a multisection of a smooth manifold is a decomposition into 1-handlebodies, where any subcollection meets along a 1-handlebody, except the global intersection which is a closed surface. After describing a few examples and introducing stabilization moves, we will discuss existence and uniqueness of such decompositions. Joint work in progress with Benjamin Audoux, Fathi Ben Aribi, Sylvain Courte and Marco Golla.

The talk will be preceded by a tea time at 3:45pm. The Zoom link for the seminar is https://uofglasgow.zoom.us/j/98078798957 and the passcode is the genus of the two-dimensional sphere (4 letters, all lowercase).

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