11 citations · 33 across the 18 of their papers we have counts for
19 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…
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…
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…
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…
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…
The algebraic topology of 4-manifolds multisections
Delphine Moussard, Trenton Schirmer
A multisection of a 4-manifold is a decomposition into 1-handlebodies intersecting pairwise along 3-dimensional handlebodies or along a central closed surface; this generalizes the…
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.…
A splicing formula for the LMO invariant
Gwenael Massuyeau, Delphine Moussard
We prove a "splicing formula" for the LMO invariant, which is the universal finite-type invariant of rational homology -spheres. Specifically, if a rational homology -sphere…
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…
Torsions and intersection forms of 4-manifolds from trisection diagrams
Vincent Florens, Delphine Moussard
Gay and Kirby introduced trisections which describe any closed oriented smooth 4-manifold as a union of three four-dimensional handlebodies. A trisection is encoded in a diagra…
Toward universality in degree 2 of the Kricker lift of the Kontsevich integral and the Lescop equivariant invariant
Benjamin Audoux, Delphine Moussard
In the setting of finite type invariants for null-homologous knots in rational homology 3-spheres with respect to null Lagrangian-preserving surgeries, there are two candidates to…
Finite type invariants of knots in homology 3-spheres with respect to null LP-surgeries
Delphine Moussard
We study a theory of finite type invariants for null-homologous knots in rational homology 3-spheres with respect to null Lagrangian-preserving surgeries. It is an analogue in the…
Splitting formulas for the rational lift of the Kontsevich integral
Delphine Moussard
Kricker defined an invariant of knots in homology 3-spheres which is a rational lift of the Kontsevich integral, and proved with Garoufalidis that this invariant satisfies splittin…
Finite braid group orbits in Aff(C)-character varieties of the punctured sphere
Gaël Cousin, Delphine Moussard
We give a complete description of finite braid group orbits in Aff(C)-character varieties of the punctured Riemann sphere. This is performed thanks to a coalescence procedure and t…
Realizing isomorphisms between first homology groups of closed 3-manifolds by borromean surgeries
Delphine Moussard
We refine Matveev's result asserting that any two closed oriented 3-manifolds can be related by a sequence of borromean surgeries if and only if they have isomorphic first homology…
Equivariant triple intersections
Delphine Moussard
Given a null-homologous knot in a rational homology 3-sphere , and the standard infinite cyclic covering of , we define an invariant of triples of curves…
Rational Blanchfield forms, S-equivalence, and null LP-surgeries
Delphine Moussard
Null Lagrangian-preserving surgeries are a generalization of the Garoufalidis and Rozansky null-moves, that these authors introduced to study the Kricker lift of the Kontsevich int…
Finite type invariants of rational homology 3-spheres
Delphine Moussard
We consider the rational vector space generated by all rational homology spheres up to orientation-preserving homeomorphism, and the filtration defined on this space by Lagrangian-…
On Alexander modules and Blanchfield forms of null-homologous knots in rational homology spheres
Delphine Moussard
In this article, we give a classification of Alexander modules of null-homologous knots in rational homology spheres. We characterize these modules A equipped with their Blanchfiel…