L 2 -topological invariants of 3-manifolds
dc.contributor.author | Lott, John | en_US |
dc.contributor.author | Lück, Wolfgang | en_US |
dc.date.accessioned | 2006-09-11T17:57:21Z | |
dc.date.available | 2006-09-11T17:57:21Z | |
dc.date.issued | 1995-12 | en_US |
dc.identifier.citation | Lott, John; Lück, Wolfgang; (1995). " L 2 -topological invariants of 3-manifolds." Inventiones Mathematicae 120(1): 15-60. <http://hdl.handle.net/2027.42/46581> | en_US |
dc.identifier.issn | 0020-9910 | en_US |
dc.identifier.issn | 1432-1297 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/46581 | |
dc.description.abstract | We give results on the L 2 -Betti numbers and Novikov-Shubin invariants of compact manifolds, especially 3-manifolds. We first study the Betti numbers and Novikov-Shubin invariants of a chain complex of Hilbert modules over a finite von Neumann algebra. We establish inequalities among the Novikov-Shubin invariants of the terms in a short exact sequence of chain complexes. Our algebraic results, along with some analytic results on geometric 3-manifolds, are used to compute the L 2 -Betti numbers of compact 3-manifolds which satisfy a weak form of the geometrization conjecture, and to compute or estimate their Novikov-Shubin invariants. | en_US |
dc.format.extent | 2236271 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag | en_US |
dc.subject.other | Mathematics, General | en_US |
dc.subject.other | Mathematics | en_US |
dc.title | L 2 -topological invariants of 3-manifolds | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, 48109-1003, Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationother | Fachbereich Mathematik, Johannes Gutenberg-Universität, D-55091, Mainz, Germany | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/46581/1/222_2005_Article_BF01241121.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01241121 | en_US |
dc.identifier.source | Inventiones Mathematicae | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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