A convexity theorem for Poisson actions of compact Lie groups
A Note on Hamiltonian Lie Group Actions and Massey Products
We show that the property of having only vanishing triple Massey products in equivariant cohomology is inherited by the set of fixed points of hamiltonian circle actions on closed symplectic manifolds. This result can be considered in a more general context of characterizing homotopic properties of Lie group actions. In particular it can be viewed as a partial answer to a question posed by Allday and Puppe about finding conditions ensuring the "formality" of G-actions.
A quantum Duistermaat-Heckamn formula?
Some aspects of Duistermaat-Heckman formula in finite dimensions are reviewed. We especulate with some of its possible extensions to infinite dimensions. In particular we review the localization principle and the geometry of loop spaces following Witten and Atiyah?s insight.
A symplectic reduction for pseudo-Riemannian manifolds with compatible almost product structures.
Abstract mechanical connection and Abelian reconstruction for almost Kähler manifolds.
Algebraic Legendrian varieties [Book]
Appendix : An example of thick wall