Related papers: Isolated fixed points and moment maps of symplecti…

The paper was withdrawn due to a gap in the proof of Lemma 3.

This paper has been withdrawn by the author due a crucial error.

Examples of nonformal simply connected symplectic manifolds are constructed.

This is a very biased and incomplete survey of some basic notions, old and new results, as well as open problems concerning Weinstein symplectic manifolds.

The paper is withdrawn because the analysis appeared to be incomplete.

This paper has been withdrawn.

Extracting isolated rays from a symplectic manifold result in a manifold symplectomorphic to the initial one. The same holds for higher dimensional parametrized rays under an additional condition. More precisely, let $(M,\omega)$ be a…

This paper has been withdrawn by the author due to incomplete interpretation for the results.

In this note, we extend to the singular case some results on the birational geometry of irreducible holomorphic symplectic manifolds.

Withdrawn due to fatal errors.

The convexity and Morse-theoretic properties of moment maps in symplectic geometry typically fail for presymplectic manifolds. We find a condition on presymplectic moment maps that prevents these failures. Our result applies for instance to…

We give an overview of various recent results concerning the topology of symplectic 4-manifolds and singular plane curves, using branched covers and isotopy problems as a unifying theme. While this paper does not contain any new results, we…

Consider a Hamiltonian torus action on a connected symplectic manifold M for which the associated moment map Phi is proper in some sense. Let Q be a closed submanifold of M. We show that under certain local conditions on Q one has…

This paper has been withdrawn by the authors due to a likely hole in the proof.

This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.

This paper has been withdrawn by the author due to a mistake in the section 4.

Exploiting recent results on the ample cone of irreducible symplectic manifolds, we provide a different point of view for the computation of their monodromy groups. In particular, we give the final step in the computation of the monodromy…

In this paper we show that the classical results on the existence and uniqueness of moment maps in symplectic geometry generalize directly to weak homotopy moment maps in multisym- plectic geometry. In particular, we show that their…

Retracted temporarily to fix some erratic things.

This encyclopedia article briefly reviews without proofs some of the main results in symplectic reduction. The article recalls most the necessary prerequisites to understand the main results, namely, group actions, momentum maps, and…