arXiv:math/0606372 Abstract

arXiv:math/0606372 [math.DG]Abstract References Reviews Resources

On weighted L^2 cohomology

Published 2006-06-15, updated 2007-11-08Version 3

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.

Comments: 7 pages. Published version. Improved introduction

Journal: Proc. Amer. Math. Soc. 135 (2007), 4057-4061

Categories: math.DG

Subjects: 58J22

Keywords: complete orientable manifold, natural map, weight function, rham cohomology, rational homology

Tags: journal article

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