Characteristic classes of foliations via SAYD-twisted cocycles

Basit Öğe Kaydı
dc.authorid0000-0002-9298-9199
dc.authorid0000-0003-0925-8668
dc.contributor.authorRangipour, Bahramen_US
dc.contributor.authorSütlü, Serkan Selçuken_US
dc.date.accessioned2016-04-04T08:47:54Z
dc.date.available2016-04-04T08:47:54Z
dc.date.issued2015
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractWe find the first non trivial “SAYD-twisted” cyclic cocycle over the groupoid action algebra under the symmetry of the affine linear transformations of the Euclidian space. We apply the cocycle to construct a characteristic map by which we transfer the characteristic classes of transversely orientable foliations into the cyclic cohomology of the groupoid action algebra. In codimension 1, our result matches with the (only explicit) computation done by Connes–Moscovici. We carry out the explicit computation in codimension 2 to present the transverse fundamental class, the Godbillon–Vey class, and the other four residual classes as cyclic cocycles on the groupoid action algebra.en_US
dc.description.versionPublisher's Versionen_US
dc.description.versionAuthor Post Printen_US
dc.identifier.citationRangipour, B. & Sütlü, S. S. (2015). Characteristic classes of foliations via SAYD-twisted cocycles. Journal of Noncommutative Geometry, 9(3), 965-998. doi:10.4171/JNCG/213en_US
dc.identifier.doi10.4171/JNCG/213
dc.identifier.endpage998
dc.identifier.issn1661-6952
dc.identifier.issue3
dc.identifier.scopus2-s2.0-84945190512
dc.identifier.scopusqualityQ1
dc.identifier.startpage965
dc.identifier.urihttps://hdl.handle.net/11729/791
dc.identifier.urihttp://dx.doi.org/10.4171/JNCG/213
dc.identifier.volume9
dc.identifier.wosWOS:000366074500010
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorSütlü, Serkan Selçuken_US
dc.institutionauthorid0000-0003-0925-8668
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherEuropean Mathematical Societyen_US
dc.relation.ispartofJournal of Noncommutative Geometryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectConnes–Moscovici Hopf algebrasen_US
dc.subjectHopf cyclic cohomologyen_US
dc.subjectCyclic cohomologyen_US
dc.subjectWeil algebraen_US
dc.subjectCharacteristic classes of foliationsen_US
dc.subjectHopf-cyclic cohomologyen_US
dc.subjectCup productsen_US
dc.subjectAlgebrasen_US
dc.subjectHomologyen_US
dc.subjectTheoremen_US
dc.titleCharacteristic classes of foliations via SAYD-twisted cocyclesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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