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.
2007
131
422
456
V. ANCONA; B. GAVEAU; M. OKADA
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/254792
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