The minimal Hirsch¿Brown model via classical Hodge theory

• Autores: Christopher Allday, Volker Puppe
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 226, Nº 1, 2006, págs. 41-52
• Idioma: inglés
• DOI: 10.2140/pjm.2006.226.41
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• Resumen

  • In our book on cohomological methods in transformation groups the minimal Hirsch¿Brown model was used to good effect. The construction of the model 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 minimal Hirsch¿Brown model using operators from classical Hodge theory and the Cartan model.