Add to ORKGWe show that if a diffeomorphism of a symplectic manifold $(M^{2n},\omega)$ preserves the form $\omega^{k}$ for $0 < k < n$ and is connected to identity through such diffeomorphisms then it is indeed a symplectomorphism.Comment: The paper contains 10 page
We study topological properties of automorphisms of a 6-dimensional torus generated by integer matri...
Abstract. The “Flux conjecture ” for symplectic manifolds states that the group of Hamiltonian diffe...
We introduce diffeological real or complex vector spaces. We define the fine dif-feology on any vect...
We show that for any positive integer $k$ there exists a closed symplectic $4$-manifold, such that t...
This paper studies some $C^0-$aspects of the action of the identity component (w.r.t the $C^\infty-$...
Abstract. We consider diffeomorphism invariance of symplectic data on submanifolds of sym-plectic ma...
revised version These notes combine material from short lecture courses given in Paris, France, in J...
We continue our previous work to prove that for any non-minimal ruled surface $(M,\omega)$, the stab...
Abstract. We study the relation between the symplectomorphism group SympM of a closed connected symp...
We determine $\pi_*(BDiff_\partial(D^{2n})) \otimes \mathbb{Q}$ for $2n \geq 6$ completely in degree...
AbstractThe group of volume preserving diffeomorphisms, the group of symplectomorphisms and the grou...
We introduce the notion of a point on a locally closed subset of a symplectic manifold being "locall...
Abstract—We characterize general symplectic manifolds and their structure groups through a family of...
Abstract. For a closed symplectic 4-manifold X, let Diff0(X) be the group of diffeomorphisms of X sm...
AbstractWe prove that the C1 interior of the set of all topologically stable C1 symplectomorphisms i...
We study topological properties of automorphisms of a 6-dimensional torus generated by integer matri...
Abstract. The “Flux conjecture ” for symplectic manifolds states that the group of Hamiltonian diffe...
We introduce diffeological real or complex vector spaces. We define the fine dif-feology on any vect...
We show that for any positive integer $k$ there exists a closed symplectic $4$-manifold, such that t...
This paper studies some $C^0-$aspects of the action of the identity component (w.r.t the $C^\infty-$...
Abstract. We consider diffeomorphism invariance of symplectic data on submanifolds of sym-plectic ma...
revised version These notes combine material from short lecture courses given in Paris, France, in J...
We continue our previous work to prove that for any non-minimal ruled surface $(M,\omega)$, the stab...
Abstract. We study the relation between the symplectomorphism group SympM of a closed connected symp...
We determine $\pi_*(BDiff_\partial(D^{2n})) \otimes \mathbb{Q}$ for $2n \geq 6$ completely in degree...
AbstractThe group of volume preserving diffeomorphisms, the group of symplectomorphisms and the grou...
We introduce the notion of a point on a locally closed subset of a symplectic manifold being "locall...
Abstract—We characterize general symplectic manifolds and their structure groups through a family of...
Abstract. For a closed symplectic 4-manifold X, let Diff0(X) be the group of diffeomorphisms of X sm...
AbstractWe prove that the C1 interior of the set of all topologically stable C1 symplectomorphisms i...
We study topological properties of automorphisms of a 6-dimensional torus generated by integer matri...
Abstract. The “Flux conjecture ” for symplectic manifolds states that the group of Hamiltonian diffe...
We introduce diffeological real or complex vector spaces. We define the fine dif-feology on any vect...