7 citations · 12 across the 12 of their papers we have counts for
16 papers
-Poisson geometry, coisotropic submanifolds, and clean intersection points
Robert Cardona, Fabio Gironella
In this work, we initiate the study of rigidity and non-rigidity phenomena for Poisson homeomorphisms, defined as uniform -limits of Poisson diffeomorphisms. First, we prove t…
Vanishing cycles of symplectic foliations
Fabio Gironella, Klaus Niederkrüger, Lauran Toussaint
Several results in recent years have shown that the usual generalizations of taut foliations to higher dimensions, based only on topological concepts, lead to a theory that lacks t…
Fillability obstructions for high-dimensional confoliations
Robert Cardona, Fabio Gironella
In this paper, we study confoliations in dimensions higher than three, mostly from the perspective of symplectic fillability. Our main result is that Massot-Niederkrüger-Wendl's bo…
Operator-Projected Variational Quantum Imaginary Time Evolution
Aeishah Ameera Anuar, Francois Jamet, Fabio Gironella +2
Variational Quantum Imaginary Time Evolution (VQITE) is a leading technique for ground state preparation on quantum computers. A significant computational challenge of VQITE is the…
Non-density results in high dimensional stable Hamiltonian topology
Robert Cardona, Fabio Gironella
We push forward the study of higher dimensional stable Hamiltonian topology by establishing two non-density results. First, we prove that stable hypersurfaces are not -dense i…
Tight contact structures without symplectic fillings are everywhere
Jonathan Bowden, Fabio Gironella, Agustin Moreno +1
We show that for all , any -dimensional manifold that admits a tight contact structure, also admits a tight but non-fillable contact structure, in the same almost…
Asymptotically holomorphic theory for symplectic orbifolds
Fabio Gironella, Vicente Muñoz, Zhengyi Zhou
We extend Donaldson's asymptotically holomorphic techniques to symplectic orbifolds. More precisely, given a symplectic orbifold such that the symplectic form defines an integer co…
Existence of conformal symplectic foliations on closed manifolds
Fabio Gironella, Lauran Toussaint
We consider the existence of symplectic and conformal symplectic codimension-one foliations on closed manifolds of dimension at least 5. Our main theorem, based on a recent result…
Exact orbifold fillings of contact manifolds
Fabio Gironella, Zhengyi Zhou
We study exact orbifold fillings of contact manifolds using Floer theories. Motivated by Chen-Ruan's orbifold Gromov-Witten invariants, we define symplectic cohomology of an exact…
Examples of symplectic non-leaves
Fabio Gironella, Lauran Toussaint
This paper deals with the following question: which manifolds can be realized as leaves of codimension-1 symplectic foliations on closed manifolds? We first observe that leaves of…
A remark on the contactomorphism group of overtwisted contact spheres
Eduardo Fernández, Fabio Gironella
We show the existence of elements of infinite order in some homotopy groups of the contactomorphism group of overtwisted spheres. It follows in particular that the contactomorphism…
Bourgeois contact structures: tightness, fillability and applications
Jonathan Bowden, Fabio Gironella, Agustin Moreno
Given a contact structure on a manifold together with a supporting open book decomposition, Bourgeois gave an explicit construction of a contact structure on $V \times \mathbb{…
5-dimensional Bourgeois contact structures are tight
Jonathan Bowden, Fabio Gironella, Agustin Moreno
Given a contact structure on a manifold together with a supporting open book decomposition, Bourgeois gave an explicit construction for a contact structure on $V \times \mathbb…
Examples of contact mapping classes of infinite order in all dimensions
Fabio Gironella
We give examples of tight high dimensional contact manifolds admitting a contactomorphism whose powers are all smoothly isotopic but not contact-isotopic to the identity. This is a…
On some examples and constructions of contact manifolds
Fabio Gironella
The first goal of this paper is to construct examples of higher dimensional contact manifolds with specific properties. Our main results in this direction are the existence of tigh…
Examples of non-trivial contact mapping classes for overtwisted contact manifolds in all dimensions
Fabio Gironella
We construct (infinitely many) examples in all dimensions of contactomorphisms of closed overtwisted contact manifolds that are smoothly isotopic but not contact-isotopic to the id…