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.
Harmonic forms and cohomology of singular stratified spaces / V. ANCONA; B. GAVEAU; M. OKADA. - In: BULLETIN DES SCIENCES MATHEMATIQUES. - ISSN 0007-4497. - STAMPA. - 131:(2007), pp. 422-456. [10.1016/j.bulsci.2006.09.001]
Harmonic forms and cohomology of singular stratified spaces
ANCONA, VINCENZO;
2007
Abstract
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.
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