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- L²_cohomology abstract "In mathematics, L2 cohomology is a cohomology theory for smooth non-compact manifolds M with Riemannian metric. It is defined in the same way as de Rham cohomology except that one uses square-integrable differential forms. The notion of square-integrability makes sense because the metric on M gives rise to a norm on differential forms and a volume form.L2 cohomology, which grew in part out of L2 d-bar estimates from the 1960s, was studied cohomologically, independently by Steven Zucker (1978) and Jeff Cheeger (1979). It is closely related to intersection cohomology; indeed, the results in the preceding cited works can be expressed in terms of intersection cohomology.Another such result is the Zucker conjecture, which states that for a Hermitian locally symmetric variety the L2 cohomology is isomorphic to the intersection cohomology (with the middle perversity) of its Baily–Borel compactification (Zucker 1982). This was proved in different ways by Looijenga (1988) and by Saper and Stern (1990).".
- L²_cohomology wikiPageExternalLink zucker.pdf.
- L²_cohomology wikiPageID "10465223".
- L²_cohomology wikiPageLength "4138".
- L²_cohomology wikiPageOutDegree "27".
- L²_cohomology wikiPageRevisionID "675122484".
- L²_cohomology wikiPageWikiLink Baily–Borel_compactification.
- L²_cohomology wikiPageWikiLink Category:Cohomology_theories.
- L²_cohomology wikiPageWikiLink Category:Differential_geometry.
- L²_cohomology wikiPageWikiLink Category:Differential_topology.
- L²_cohomology wikiPageWikiLink Cohomology.
- L²_cohomology wikiPageWikiLink Compositio_Mathematica.
- L²_cohomology wikiPageWikiLink De_Rham_cohomology.
- L²_cohomology wikiPageWikiLink Differentiable_manifold.
- L²_cohomology wikiPageWikiLink Differential_form.
- L²_cohomology wikiPageWikiLink Eduard_Looijenga.
- L²_cohomology wikiPageWikiLink Henri_Cartan.
- L²_cohomology wikiPageWikiLink Hermitian_variety.
- L²_cohomology wikiPageWikiLink Intersection_homology.
- L²_cohomology wikiPageWikiLink Isomorphism.
- L²_cohomology wikiPageWikiLink Jeff_Cheeger.
- L²_cohomology wikiPageWikiLink Manifold.
- L²_cohomology wikiPageWikiLink Mathematics.
- L²_cohomology wikiPageWikiLink Metric_(mathematics).
- L²_cohomology wikiPageWikiLink Norm_(mathematics).
- L²_cohomology wikiPageWikiLink Riemannian_manifold.
- L²_cohomology wikiPageWikiLink Spectral_geometry.
- L²_cohomology wikiPageWikiLink Square-integrable_function.
- L²_cohomology wikiPageWikiLink Steven_Zucker.
- L²_cohomology wikiPageWikiLink Symmetric_space.
- L²_cohomology wikiPageWikiLink Volume_form.
- L²_cohomology wikiPageWikiLinkText "L² cohomology".
- L²_cohomology author "B. Brent Gordon".
- L²_cohomology id "B/b130010".
- L²_cohomology title "Baily–Borel compactification".
- L²_cohomology wikiPageUsesTemplate Template:Cite_book.
- L²_cohomology wikiPageUsesTemplate Template:Differential-geometry-stub.
- L²_cohomology wikiPageUsesTemplate Template:MathSciNet.
- L²_cohomology wikiPageUsesTemplate Template:Springer.
- L²_cohomology wikiPageUsesTemplate Template:Topology-stub.
- L²_cohomology subject Category:Cohomology_theories.
- L²_cohomology subject Category:Differential_geometry.
- L²_cohomology subject Category:Differential_topology.
- L²_cohomology hypernym Theory.
- L²_cohomology type Work.
- L²_cohomology type Diacritic.
- L²_cohomology type Physic.
- L²_cohomology type Redirect.
- L²_cohomology type Theory.
- L²_cohomology comment "In mathematics, L2 cohomology is a cohomology theory for smooth non-compact manifolds M with Riemannian metric. It is defined in the same way as de Rham cohomology except that one uses square-integrable differential forms.".
- L²_cohomology label "L² cohomology".
- L²_cohomology sameAs Q6710594.
- L²_cohomology sameAs m.02qdyfr.
- L²_cohomology sameAs L²-kohomologi.
- L²_cohomology sameAs Q6710594.
- L²_cohomology wasDerivedFrom L²_cohomology?oldid=675122484.
- L²_cohomology isPrimaryTopicOf L²_cohomology.