## $$L^p$$ differential forms on analytic varieties

Guillaume Valette
Polish Academy of Science

Abstract

We may endow any analytic differential manifold $$M$$ (not necessarily compact) with the Riemmanian metric inherited from the ambient space. Consider then the differential forms whose norm is $$L^p$$ integrable on the manifold. I will give some theorems on computing the cohomology of $$L^p$$ forms.

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