Harmonic forms and cohomology of singular stratified spaces

• Autores: Vincenzo Ancona, Bernard Gaveau, Masami Okada
• Localización: Bulletin des Sciences Mathématiques, ISSN 0007-4497, Vol. 131, Nº. 5, 2007, págs. 422-456
• Idioma: inglés
• DOI: 10.1016/j.bulsci.2006.09.001
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• Resumen

  • We construct a potential theory for differential forms on compact stratified spaces, and we show that the space of harmonic forms of degree k is isomorphic to the singular cohomology of degree k. This theory applies to any triangulable topological space.