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Harmonic forms and cohomology of singular stratified spaces |
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| Authors: | Vincenzo Ancona Bernard Gaveau |
| Affiliation: | a Dipartimento di Matematica, Università degli Studi, 67/A Viale Morgagni, Firenze, Italy b Analyse et Physique Mathématique, 14 avenue Félix Faure, 75015 Paris, France c Tokyo Metropolitan University, Tokyo, Japan |
| 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. |
| Keywords: | Singular stratified spaces Triangularization Differential forms Potential theory on singular spaces Cohomology |
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