On weighted L^2 cohomology

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Consider a complete orientable manifold with countably many components of bounded dimension. Suppose that its rational homology is infinitely generated in some degree. Then there is no choice of weight function for which the natural map from weighted L^2 cohomology to de Rham cohomology is surjective in that degree.
7 pages. Published version. Improved introduction

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Differential Geometry, 58J22

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http://salesiana.dossiersoluciones.com/handle/123456789/141676

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606372
 http://arxiv.org/abs/math/0606372
 Proc. Amer. Math. Soc. 135 (2007), 4057-4061

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arXiv