Results 111 to 120 of about 208,236 (249)

Derived Symplectic Geometry

Review paper. This is an invited contribution to the 2nd edition of the Encyclopedia of Mathematical Physics.
openaire   +2 more sources

Symplectic maps to projective spaces and symplectic invariants [PDF]

arXiv, 2000
After reviewing recent results on symplectic Lefschetz pencils and symplectic branched covers of CP^2, we describe a new construction of maps from symplectic manifolds of any dimension to CP^2 and the associated monodromy invariants. We also show that a dimensional induction process makes it possible to describe any compact symplectic manifold by a ...
arxiv  

Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces [PDF]

, 1999
Boris Khesin, A. A. Rosly
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Complex symplectic structures on Lie algebras [PDF]

arXiv, 2018
We investigate Lie algebras endowed with a complex symplectic structure and develop a method, called \emph{complex symplectic oxidation}, to construct certain complex symplectic Lie algebras of dimension $4n+4$ from those of dimension $4n$. We specialize this construction to the nilpotent case and apply complex symplectic oxidation to classify eight ...
arxiv  

Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic System

Symmetry, Integrability and Geometry: Methods and Applications, 2007
Bifibrations, in symplectic geometry called also dual pairs, play a relevant role in the theory of superintegrable Hamiltonian systems. We prove the existence of an analogous bifibrated geometry in dynamical systems with a symmetry group such that the ...
Francesco Fassò, Andrea Giacobbe
doaj  

Codimension one symplectic foliations [PDF]

arXiv, 2001
We define the concept of symplectic foliation on a symplectic manifold and provide a method of constructing many examples, by using asymptotically holomorphic techniques.
arxiv  

Projection methods for some constrained systems [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2003
This article is concerned with a geometric tool given by a pair of projector operators defined by almost product structures on finite dimensional manifolds, polarized by a distribution of constant rank and also endowed with some geometric structures ...
Paulo Pitanga, Paulo R. Rodrigues
doaj  

Symplectic semi-characteristics [PDF]

arXiv
We study the symplectic semi-characteristic of a 4n-dimensional closed symplectic manifold. First, we define the symplectic semi-characteristic using the mapping cone complex model of the primitive cohomology. Second, using a vector field with nondegenerate zero points, we prove a counting formula for the symplectic semi-characteristic. As corollaries,
arxiv  

Symplectic Convexity for Orbifolds [PDF]

arXiv, 2003
We generalize symplectic convexity theorems for Hamiltonian actions with proper momentum maps to symplectic actions on orbifolds with mod-$\Gamma$ proper momentum maps.
arxiv  

Metric and isoperimetric problems in symplectic geometry [PDF]

, 2000
Claude Viterbo
openalex   +1 more source