L2 cohomology
From Wikipedia, the free encyclopedia
In mathematics, L2 cohomology is a cohomology theory for smooth non-compact manifolds with Riemannian metrics. It defined in the same way as de Rham cohomology except that one uses square integrable differential forms.
It was discovered by Jeff Cheeger, and is closely related to intersection cohomology.
[edit] References
- J. Cheeger, M. Goresky, R. MacPherson, L2 cohomology and intersection homology for singular algebraic varieties, Seminar on differential geometry, vol. 102 of Annals of mathamtical studies, pages 303-340.
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