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Article: Cohomological obstructions to the equivariant extension of closed invariant forms
| Title | Cohomological obstructions to the equivariant extension of closed invariant forms |
|---|---|
| Authors | |
| Keywords | Cohomology Of Lie Algebras Equivariant Cohomology Extensions Spectral Sequences |
| Issue Date | 1993 |
| Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/geomphys |
| Citation | Journal Of Geometry And Physics, 1993, v. 10 n. 4, p. 381-392 How to Cite? |
| Abstract | We study under what condition a closed invariant form on a manifold with a group action admits an equivariant extension. We derive a sequence of obstructions in the cohomology groups of the Lie algebra with coefficients in appropriate modules. We illustrate the result with two specific examples. We then discuss when such cohomological obstructions vanish. Finally, we compare our analysis with the spectral sequence point of view. © 1993. |
| Persistent Identifier | http://hdl.handle.net/10722/156046 |
| ISSN | 2023 Impact Factor: 1.6 2023 SCImago Journal Rankings: 0.617 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Wu, S | en_US |
| dc.date.accessioned | 2012-08-08T08:40:11Z | - |
| dc.date.available | 2012-08-08T08:40:11Z | - |
| dc.date.issued | 1993 | en_US |
| dc.identifier.citation | Journal Of Geometry And Physics, 1993, v. 10 n. 4, p. 381-392 | en_US |
| dc.identifier.issn | 0393-0440 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10722/156046 | - |
| dc.description.abstract | We study under what condition a closed invariant form on a manifold with a group action admits an equivariant extension. We derive a sequence of obstructions in the cohomology groups of the Lie algebra with coefficients in appropriate modules. We illustrate the result with two specific examples. We then discuss when such cohomological obstructions vanish. Finally, we compare our analysis with the spectral sequence point of view. © 1993. | en_US |
| dc.language | eng | en_US |
| dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/geomphys | en_US |
| dc.relation.ispartof | Journal of Geometry and Physics | en_US |
| dc.subject | Cohomology Of Lie Algebras | en_US |
| dc.subject | Equivariant Cohomology | en_US |
| dc.subject | Extensions | en_US |
| dc.subject | Spectral Sequences | en_US |
| dc.title | Cohomological obstructions to the equivariant extension of closed invariant forms | 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 | link_to_subscribed_fulltext | en_US |
| dc.identifier.doi | 10.1016/0393-0440(93)90005-Y | - |
| dc.identifier.scopus | eid_2-s2.0-0010201978 | en_US |
| dc.identifier.volume | 10 | en_US |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.spage | 381 | en_US |
| dc.identifier.epage | 392 | en_US |
| dc.publisher.place | Netherlands | en_US |
| dc.identifier.scopusauthorid | Wu, S=15830510400 | en_US |
| dc.identifier.issnl | 0393-0440 | - |