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Article: Equivariant holomorphic morse inequalities III: Non-isolated fixed points
Title | Equivariant holomorphic morse inequalities III: Non-isolated fixed points |
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Authors | |
Issue Date | 1998 |
Publisher | Birkhaeuser Verlag AG. The Journal's web site is located at http://link.springer.de/link/service/journals/00039/index.htm |
Citation | Geometric And Functional Analysis, 1998, v. 8 n. 1, p. 149-178 How to Cite? |
Abstract | We prove the equivariant holomorphic Morse inequalities for a holomorphic torus action on a holomorphic vector bundle over a compact Kähler manifold when the fixed-point set is not necessarily discrete. Such inequalities bound the twisted Dolbeault cohomologies of the Kähler manifold in terms of those of the fixed-point set. We apply the inequalities to obtain relations of Hodge numbers of the connected components of the fixed-point set and the whole manifold. We also investigate the consequences in geometric quantization, especially in the context of symplectic cutting. |
Persistent Identifier | http://hdl.handle.net/10722/156071 |
ISSN | 2023 Impact Factor: 2.4 2023 SCImago Journal Rankings: 3.597 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Wu, S | en_US |
dc.contributor.author | Zhang, W | en_US |
dc.date.accessioned | 2012-08-08T08:40:16Z | - |
dc.date.available | 2012-08-08T08:40:16Z | - |
dc.date.issued | 1998 | en_US |
dc.identifier.citation | Geometric And Functional Analysis, 1998, v. 8 n. 1, p. 149-178 | en_US |
dc.identifier.issn | 1016-443X | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156071 | - |
dc.description.abstract | We prove the equivariant holomorphic Morse inequalities for a holomorphic torus action on a holomorphic vector bundle over a compact Kähler manifold when the fixed-point set is not necessarily discrete. Such inequalities bound the twisted Dolbeault cohomologies of the Kähler manifold in terms of those of the fixed-point set. We apply the inequalities to obtain relations of Hodge numbers of the connected components of the fixed-point set and the whole manifold. We also investigate the consequences in geometric quantization, especially in the context of symplectic cutting. | en_US |
dc.language | eng | en_US |
dc.publisher | Birkhaeuser Verlag AG. The Journal's web site is located at http://link.springer.de/link/service/journals/00039/index.htm | en_US |
dc.relation.ispartof | Geometric and Functional Analysis | en_US |
dc.title | Equivariant holomorphic morse inequalities III: Non-isolated fixed points | en_US |
dc.type | Article | en_US |
dc.identifier.email | Wu, S:swu@maths.hku.hk | en_US |
dc.identifier.authority | Wu, S=rp00814 | en_US |
dc.description.nature | postprint | en_US |
dc.identifier.doi | 10.1007/s000390050051 | - |
dc.identifier.scopus | eid_2-s2.0-0032221701 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0032221701&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 8 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.spage | 149 | en_US |
dc.identifier.epage | 178 | en_US |
dc.identifier.isi | WOS:000072435600006 | - |
dc.publisher.place | Switzerland | en_US |
dc.identifier.scopusauthorid | Wu, S=15830510400 | en_US |
dc.identifier.scopusauthorid | Zhang, W=7409428775 | en_US |
dc.identifier.issnl | 1016-443X | - |