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Moduli of K3 Surfaces and Irreducible Symplectic Manifolds
Moduli of K3 Surfaces Irreducible Symplectic Manifolds
2011/2/22
The name “K3 surfaces” was coined by A. Weil in 1957 when he formulated a research programme for these surfaces and their moduli.
Symplectic generic complex structures on 4-manifolds with b_+ = 1
Symplectic generic complex structures 4-manifolds with b_+ = 1
2011/2/21
We study symplectic structures on K¨ahler surfaces with pg = 0. We give an example of a projective surface which admits a symplectic structure which is not compatible with any K¨ahler metric.
We introduce a parabolic flow of almost K¨ahler structures, providing a natural extension of K¨ahler Ricci flow onto symplectic manifolds. We exhibit this flow as one of a family of parabolic flows of...
A Hierarchy of Local Symplectic Filling Obstructions for Contact 3-Manifolds
Local Symplectic Filling Obstructions Contact 3-Manifolds
2010/12/6
We generalize the familiar notions of overtwistedness and Giroux torsion in 3-dimensional contact manifolds, defining an infinite hierarchy of local filling obstructions called planar torsion, whose i...
On homotopy Poisson actions and reduction of symplectic Q-manifolds
homotopy Poisson actions reduction of symplectic Q-manifolds
2010/12/1
We present a general framework for reduction of symplectic Qmanifolds via graded group actions. In this framework, the homological structure on the acting group is a multiplicative multivector field.
Symplectic quotients by a nonabelian group and by its maximal torus
Symplectic quotients nonabelian group maximal torus
2010/10/29
This paper examines the relationship between the symplectic quotient X//G of a Hamiltonian G-manifold X, and the associated symplectic quotient X//T, where T is a maximal torus, in the case in which X...