The Minimal Hirsch-Brown Model Via Classical Hodge Theory

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dc.creatorAllday, Christopher
dc.creatorPuppe, Volker
dc.date2004-08-14
dc.date.accessioned2026-07-07T05:11:17Z
dc.date.available2026-07-07T05:11:17Z
dc.descriptionIn 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.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0408188
dc.identifierhttp://arxiv.org/abs/math/0408188
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72186
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject57S15 (Primary) 53D20 (Secondary)
dc.titleThe Minimal Hirsch-Brown Model Via Classical Hodge Theory
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