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arXiv · 2109.14192

De Rham's theorem for Orlicz cohomology

Emiliano Sequeira
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Abstract

We prove that the de Rham $L^\phi$-cohomology of a Riemannian manifold $M$ admiting a convenient triangulation $X$ is isomorphic to the simplicial $\ell^\phi$-cohomology of $X$ for any Young function $\phi$. This result implies the quasi-isometry invariance of the first one.

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Emiliano Sequeira. 2021-09-29. De Rham's theorem for Orlicz cohomology. https://arxiv.org/abs/2109.14192

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