COHOMOLOGY OF FLAT PRINCIPAL BUNDLES
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Byun, Yanghyun | - |
dc.contributor.author | Kim, Joohee | - |
dc.date.accessioned | 2022-07-11T13:21:28Z | - |
dc.date.available | 2022-07-11T13:21:28Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2018-08 | - |
dc.identifier.issn | 0013-0915 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/149553 | - |
dc.description.abstract | We invoke the classical fact that the algebra of bi-invariant forms on a compact connected Lie group G is naturally isomorphic to the de Rham cohomology H-dR(*)(G) itself. Then, we show that when a flat connection A exists on a principal G-bundle T, we may construct a homomorphism E-A : H-dR*(G) -> H-dR(*)(P), which eventually shows that the bundle satisfies a condition for the Leray-Ilirsch theorem. A similar argument is shown to apply to its adjoint bundle. As a corollary, we show that that both the flat principal bundle and its adjoint bundle have the real coefficient cohomology isomorphic to that of the trivial bundle. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | CAMBRIDGE UNIV PRESS | - |
dc.title | COHOMOLOGY OF FLAT PRINCIPAL BUNDLES | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Byun, Yanghyun | - |
dc.identifier.doi | 10.1017/S0013091517000475 | - |
dc.identifier.scopusid | 2-s2.0-85047225769 | - |
dc.identifier.wosid | 000440179200012 | - |
dc.identifier.bibliographicCitation | PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v.61, no.3, pp.869 - 877 | - |
dc.relation.isPartOf | PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | - |
dc.citation.title | PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | - |
dc.citation.volume | 61 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 869 | - |
dc.citation.endPage | 877 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | SELF-DUAL INSTANTONS | - |
dc.subject.keywordAuthor | flat principal bundle | - |
dc.subject.keywordAuthor | de Rham cohomology | - |
dc.subject.keywordAuthor | adjoint bundle | - |
dc.identifier.url | https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society/article/cohomology-of-flat-principal-bundles/6C013650E542E225CAADC6F3A583DE6E | - |
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