The Spectral Density Function for the Laplacian on High Tensor Powers of a Line Bundle
dc.contributor.author | Borthwick, David | en_US |
dc.contributor.author | Uribe, Alejandro | en_US |
dc.date.accessioned | 2006-09-08T19:36:24Z | |
dc.date.available | 2006-09-08T19:36:24Z | |
dc.date.issued | 2002-05 | en_US |
dc.identifier.citation | Borthwick, David; Uribe, Alejandro; (2002). "The Spectral Density Function for the Laplacian on High Tensor Powers of a Line Bundle." Annals of Global Analysis and Geometry 21(3): 269-286. <http://hdl.handle.net/2027.42/41759> | en_US |
dc.identifier.issn | 0232-704X | en_US |
dc.identifier.issn | 1572-9060 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/41759 | |
dc.description.abstract | For a symplectic manifold with quantizing line bundle, a choice of almost complex structure determines a Laplacian acting on tensor powers of the bundle. For high tensor powers Guillemin–Uribe showed that there is a well-defined cluster of low-lying eigenvalues, whose distribution is described by a spectral density function. We give an explicit computation of the spectral density function, by constructing certain quasimodes on the associated principle bundle. | en_US |
dc.format.extent | 139541 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Kluwer Academic Publishers; Springer Science+Business Media | en_US |
dc.subject.other | Mathematics | en_US |
dc.subject.other | Group Theory and Generalizations | en_US |
dc.subject.other | Analysis | en_US |
dc.subject.other | Geometry | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Statistics for Business/Economics/Mathematical Finance/Insurance | en_US |
dc.subject.other | Almost KäHler | en_US |
dc.subject.other | Spectral Density Function | en_US |
dc.subject.other | Quasimode | en_US |
dc.title | The Spectral Density Function for the Laplacian on High Tensor Powers of a Line Bundle | 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 | Mathematics Department, University of Michigan, Ann Arbor, MI, 48109, U.S.A. | en_US |
dc.contributor.affiliationother | Department of Mathematics and Computer Science, Emory University, Atlanta, GA, 30322, U.S.A. | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/41759/1/10455_2004_Article_389544.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1023/A:1014944725113 | en_US |
dc.identifier.source | Annals of Global Analysis and Geometry | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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