The Minimal Hirsch-Brown Model Via Classical Hodge Theory

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In our book on cohomological methods in transformation groups the minimal Hirsch-Brown model was used to good effect. The construction there, however, was rather abstract. Here, for smooth compact connected Lie group actions on smooth closed manifolds, we give a much more explicit construction of the minmal Hirsch-Brown model using operators from classical Hodge theory and the small Cartan model. As a simple example, we discuss circle actions on complex projective space, computing the deformation terms in the product by means of the moment map in two different ways.
14 pages

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Differential Geometry, Symplectic Geometry, 57S15 (Primary) 53D20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/72186

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408188
 http://arxiv.org/abs/math/0408188

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arXiv