International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 8, Pages 1277-1282
doi:10.1155/IJMMS.2005.1277

Canonical equivariant extensions using classical Hodge theory

Abstract

Lin and Sjamaar have used symplectic Hodge theory to obtain canonical equivariant extensions for Hamiltonian actions on closed symplectic manifolds that have the strong Lefschetz property. Here we obtain canonical equivariant extensions much more generally by means of classical Hodge theory.