3 papers
math.GT2026
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…
math.GT2025
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 p…
math.GT2019
A Fox-Milnor theorem for the Alexander polynomial of knotted -spheres in
Delphine Moussard, Emmanuel Wagner
For knots in , it is well-known that the Alexander polynomial of a ribbon knot factorizes as for some polynomial . By contrast, the Alexander polynomial…