We construct relative Gromov--Witten theory with expanded degenerations in the normal
crossings setting and establish a degeneration formula for the resulting invariants. Given a …

We prove a relative version of the Picard-Lefschetz theorem, describing the variation of
relative homology groups $ H_d (Y_t\setminus A_t, B_t\setminus A_t) $ in the fibers of a …

We prove that under certain conditions, the quantum cohomology of a positively monotone
compact symplectic manifold is a deformation of the symplectic cohomology of the …

We show that any two birational projective Calabi-Yau manifolds have isomorphic small
quantum cohomology algebras after a certain change of Novikov rings. The key tool used is …

We define a hierarchy functor from the exact symplectic cobordism category to a totally
ordered set from a $ BL_\infty $(Bi-Lie) formalism of the rational symplectic field theory …

This article is concerned with the question of whether an energy bound implies a genus
bound for pseudo-holomorphic curves in almost complex manifolds. After reviewing what is …

Floer cohomology, multiplicity and the log canonical threshold Page 1 msp Geometry &
Topology 23 (2019) 957–1056 Floer cohomology, multiplicity and the log canonical threshold …

arXiv:2312.16112v1 [math.DG] 26 Dec 2023 Page 1 arXiv:2312.16112v1 [math.DG] 26 Dec
2023 Smooth Blowups: Global vs. Local Perspectives Aleksey Zinger∗ December 27, 2023 …

We define a family of symplectic invariants which obstruct exact symplectic embeddings
between Liouville manifolds, using the general formalism of linearized contact homology …

Nous résumons nos travaux [7–11, 6], où l'on définit et étudie les variétés et sous-variétés à
croisements normaux en géométrie symplectique. Ils répondent à une question de Gromov …