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https://hdl.handle.net/2440/3742
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DC Field | Value | Language |
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dc.contributor.author | Block, Jonathan | en |
dc.contributor.author | Mathai, Varghese | en |
dc.contributor.author | Weinberger, Shmuel | en |
dc.date.issued | 1997 | en |
dc.identifier.citation | Proceedings of the American Mathematical Society, 1997; 125(12):3757-3762 | en |
dc.identifier.issn | 0002-9939 | en |
dc.identifier.uri | http://hdl.handle.net/2440/3742 | - |
dc.description.abstract | We give short proofs of the Gromov-Shubin theorem on the homotopy invariance of the Novikov-Shubin invariants and of the Dodziuk theorem on the homotopy invariance of the $L^2$ Betti numbers of the universal covering of a closed manifold in this paper. We show that the homotopy invariance of these invariants is no more difficult to prove than the homotopy invariance of ordinary homology theory. | en |
dc.description.statementofresponsibility | Jonathan Block, Varghese Mathai and Shmuel Weinberger. | en |
dc.language.iso | en | en |
dc.subject | $L^2$ Betti numbers, Novikov-Shubin invariants, homotopy invariance, von Neumann algebras. | en |
dc.title | Homotopy invariance of Novikov-Shubin invariants and L2 Betti numbers | en |
dc.type | Journal article | en |
dc.identifier.doi | 10.1090/S0002-9939-97-04154-3 | en |
Appears in Collections: | Pure Mathematics publications |
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