6 research outputs found
On non-formality of a simply-connected symplectic 8-manifold
We show an alternative construction of the first example of a
simply-connected compact symplectic non-formal 8-manifold given in
arXiv:math/0506449. We also give an alternative proof of its non-formality
using higher order Massey products.Comment: 10 pages; to appear in American Institute of Physics Conference
Proceedings. Proceedings of the XVI International Fall Workshop on Geometry
and Physics, Lisboa 200
Equivariant cohomology and localization for Lie algebroids
Let M be a manifold carrying the action of a Lie group G, and let A be a Lie algebroid on M equipped with a compatible infinitesimal G-action. Using these data, we construct an equivariant cohomology of A and prove a related localization formula for the case of compact G. By way of application, we prove an analog of the Bott formul