Séance Séminaire

Séminaire Algèbre Géométrie Algébrique Topologie Algébrique

Multisections of closed manifolds

Multisections of closed manifolds are generalizations of Heegaard splittings of 3-manifolds and Gay-Kirby trisections of smooth 4-manifolds: a multisection of a closed manifold is a decomposition into 1-handlebodies, where any subcollection meets along a 1-handlebody, except the global intersection which is a closed surface. We will discuss existence and uniqueness of such decompositions and see how they can be represented by diagrams on closed surfaces. Joint work with Fathi Ben Aribi, Sylvain Courte and Marco Golla.