The minimal Hirsch-Brown model via classical Hodge theory (Q997132)

The main purpose of the article is to give an explicit definition of the minimal Hirsch-Brown model for a smooth compact connected Lie group action on a smooth closed manifold. The construction is based on the Cartan model for the equivariant cohomology and Hodge theory. As an example, a Hamiltonian action of the circle on the complex projective space is discussed in detail.