On the topology of Lagrangian endocobordisms
In this talk I will use a long exact sequence (after recalling its construction) relating the Legend
Geometry and Topology
First steps toward higher-dimensional Heegaard Floer homology.
We propose an extension of Heegaard Floer homology to contact manifolds of higher dimensions based
Tight contact structures on connected sums which are not contact connected sum.
It is well known that, in dimension three, every tight contact structure on a connected sum is a con
Hölder conditions for endomorphisms of hyperbolic groups
Hyperbolic groups were introduced by Mikhail Gromov in the 80s by considering the geometry of Cayley
Toric constructions of monotone Lagrangian submanifolds in $\mathbbCP^2$ and $\mathbbCP^1 \times \mathbbCP^1$
In a previous paper, I proved that two very different constructions of monotone Lagrangian tori are
Stratifications on the Moduli Space of Higgs Bundles
The work of Hausel proves that the Bialynicki-Birula stratification of the moduli space of rank two
Cohomological obstructions to symplectic immersions
I will discuss work in progress aiming to characterize certain cohomological obstructions to symplec
C^0-rigidity phenomena in symplectic topology
A celebrated theorem due to Gromov and Eliashberg states that the C^0-limit of a sequence of sym
Some surfaces with canonical map of degree 16
It is known since Beauville (1979) that if the canonical image $\phi(S)$ of a surface of general typ