File Download
  Links for fulltext
     (May Require Subscription)
Supplementary

Article: A Note on Higher Cohomology Groups of Kähler Quotients

TitleA Note on Higher Cohomology Groups of Kähler Quotients
Authors
KeywordsGeometric Quantization
Holomorphic Morse Theory
Issue Date2000
PublisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0232-704X
Citation
Annals Of Global Analysis And Geometry, 2000, v. 18 n. 6, p. 569-576 How to Cite?
AbstractConsider a holomorphic ℂx-action on a possibly noncompact Kähler manifold. We show that the higher cohomology groups appearing in the geometric quantization of the symplectic quotient are isomorphic to the invariant parts of the corresponding cohomology groups of the original manifold. For non-Abelian group actions on compact Kähler manifolds, this result was proved recently by Teleman. Our approach is applying the holomorphic instanton complex to the prequantum line bundles over the symplectic cuts. We also settle a conjecture of Zhang and the present author on the exact sequence of higher cohomology groups in the context of symplectic cutting.
Persistent Identifierhttp://hdl.handle.net/10722/156111
ISSN
2015 Impact Factor: 0.835
2015 SCImago Journal Rankings: 1.136
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWu, Sen_US
dc.date.accessioned2012-08-08T08:40:26Z-
dc.date.available2012-08-08T08:40:26Z-
dc.date.issued2000en_US
dc.identifier.citationAnnals Of Global Analysis And Geometry, 2000, v. 18 n. 6, p. 569-576en_US
dc.identifier.issn0232-704Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/156111-
dc.description.abstractConsider a holomorphic ℂx-action on a possibly noncompact Kähler manifold. We show that the higher cohomology groups appearing in the geometric quantization of the symplectic quotient are isomorphic to the invariant parts of the corresponding cohomology groups of the original manifold. For non-Abelian group actions on compact Kähler manifolds, this result was proved recently by Teleman. Our approach is applying the holomorphic instanton complex to the prequantum line bundles over the symplectic cuts. We also settle a conjecture of Zhang and the present author on the exact sequence of higher cohomology groups in the context of symplectic cutting.en_US
dc.languageengen_US
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0232-704Xen_US
dc.relation.ispartofAnnals of Global Analysis and Geometryen_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsThe original publication is available at www.springerlink.com-
dc.subjectGeometric Quantizationen_US
dc.subjectHolomorphic Morse Theoryen_US
dc.titleA Note on Higher Cohomology Groups of Kähler Quotientsen_US
dc.typeArticleen_US
dc.identifier.emailWu, S:swu@maths.hku.hken_US
dc.identifier.authorityWu, S=rp00814en_US
dc.description.naturepreprinten_US
dc.identifier.doi10.1023/A:1006712005064-
dc.identifier.scopuseid_2-s2.0-0041727409en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0041727409&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume18en_US
dc.identifier.issue6en_US
dc.identifier.spage569en_US
dc.identifier.epage576en_US
dc.identifier.isiWOS:000165376300004-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridWu, S=15830510400en_US

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats