6 papers
Multisections and bridge positions in arbitrary dimensions
Sylvain Courte, Delphine Moussard, Qiuyu Ren +1
Multisections were defined by Ben Aribi--Courte--Golla--Moussard as a way to decompose closed manifolds into -handlebodies, which is a generalization of Heegaard splittings and…
A universal finite type invariant of knots in homology 3-spheres
Benjamin Audoux, Delphine Moussard
An essential goal in the study of finite type invariants of some objects (knots, manifolds) is the construction of a universal finite type invariant, universal in the sense that it…
On diffeomorphisms of 4-dimensional 1-handlebodies
Delphine Moussard
We give a new proof of Laudenbach and Poénaru's theorem, which states that any diffeomorphism of the boundary of a 4-dimensional 1-handlebody extends to the whole handlebody. Our…
Multisections of higher-dimensional manifolds
Fathi Ben Aribi, Sylvain Courte, Marco Golla +1
Generalizing Heegaard splittings of 3-manifolds and trisections of 4-manifolds, we consider multisections of higher-dimensional smooth (or PL) closed orientable manifolds, namely d…
Multisections of surface bundles and bundles over the circle
Delphine Moussard
A multisection is a decomposition of a manifold into 1-handlebodies, where each subcollection of the pieces intersects along a 1-handlebody except the global intersection which is…
Slice genus, -genus and -dimensional clasp number
Delphine Moussard
The -genus of a knot is the minimal number of borromean-type triple points on a normal singular disk with no clasp bounded by the knot; it is an upper bound for the slice genus.…