Andrés Viña
Departamento de Física, Universidad de Oviedo
Cohomology of flag manifolds
Using the coadjoint orbit hierarchy [1] together with the
cohomological splitting of some Hamiltonian bundles [2], we propose a
new approach to the rational cohomology of some flag manifolds.
This contribution will be a development of the article ``Cohomological
Splitting of Coadjoint Orbits" (math.SG/ 0212384) that will be appear in
Archiv der Mathematik.
[1] V. Guillemin, E. Lerman, S. Sternberg,
``Symplectic Fibrations and Multiplicity Diagrams",
Cambridge U. P., Cambridge (1996).
[2] F. Lalonde, D. McDuff, ``Symplectic Structures on Fiber Bundles",
Topology 42(2) (2002) 309-347.