A few remarks about symplectic filling.
A field theory for symplectic fibrations over surfaces.
A general Fredholm theory I: a splicing-based differential geometry
A Geometric Realization of
A group action on Losev-Manin cohomological field theories
We discuss an analog of the Givental group action for the space of solutions of the commutativity equation. There are equivalent formulations in terms of cohomology classes on the Losev-Manin compactifications of genus moduli spaces; in terms of linear algebra in the space of Laurent series; in terms of differential operators acting on Gromov-Witten potentials; and in terms of multi-component KP tau-functions. The last approach is equivalent to the Losev-Polyubin classification that was obtained...
A Legendrian Thurston-Bennequin bound from Khovanov homology.
A Lie algebroid on the Wiener space.
A method for weight multiplicity computation based on Berezin quantization.
A monotonicity formula for Yang-Mills Fields.
A new curvature invariant and entropy of geodesic flow.
A new proof of the existence of hierarchies of Poisson-Nijenhuis structures.
A note on bidifferential calculi and bihamiltonian systems
In this note we discuss the geometrical relationship between bi-Hamiltonian systems and bi-differential calculi, introduced by Dimakis and Möller–Hoissen.
A note on counting cuspidal excursions.
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 note on Poisson-Lie algebroids. I.
A proof of Weinstein’s conjecture in
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 recursive scheme of first integrals of the geodesic flow of a Finsler manifold.
A remarkable transformation group on cotangent bundle.
A short note on Seshadri constants and packing constants
The note is about a connection between Seshadri constants and packing constants and presents another proof of Lazarsfeld's result from [Math. Res. Lett. 3 (1996), 439-447].