A near-symplectic structure on a 4-manifold is a closed 2-form that is symplectic away from the 1-dimensional submanifold along which it vanishes and that satisfies a certain transversality condition along this vanishing locus. We investigate near-symplectic 4-manifolds equipped with singular Lagrangian torus fibrations which are locally induced by effective Hamiltonian torus actions. We show how such a structure is completely characterized by a singular integral affine structure on...

Lefschetz fibrations in symplectic geometry.

Donaldson, S.K. (1998)

Documenta Mathematica

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Displaying similar documents to “Contents”

Introduction

Homotopy theory and circle actions on symplectic manifolds

Fundamental group of $Symp (M, ω)$ with no circle action

Symplectic structures on the tangent bundles of symplectic and cosymplectic manifolds

Lectures on groups of symplectomorphisms

Toric structures on near-symplectic 4-manifolds

Lefschetz fibrations in symplectic geometry.

Displaying similar documents to “Contents”

Introduction

Homotopy theory and circle actions on symplectic manifolds

Fundamental group of Symp ( M , ω ) with no circle action

Symplectic structures on the tangent bundles of symplectic and cosymplectic manifolds

Lectures on groups of symplectomorphisms

Toric structures on near-symplectic 4-manifolds

Lefschetz fibrations in symplectic geometry.

Fundamental group of $Symp (M, ω)$ with no circle action