dc.contributor.author | Rangipour, Bahram | en_US |
dc.contributor.author | Sütlü, Serkan Selçuk | en_US |
dc.date.accessioned | 2016-04-04T08:47:54Z | |
dc.date.available | 2016-04-04T08:47:54Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Rangipour, 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/213 | en_US |
dc.identifier.issn | 1661-6952 | |
dc.identifier.uri | https://hdl.handle.net/11729/791 | |
dc.identifier.uri | http://dx.doi.org/10.4171/JNCG/213 | |
dc.description.abstract | We 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.language.iso | eng | en_US |
dc.publisher | European Mathematical Society | en_US |
dc.relation.isversionof | 10.4171/JNCG/213 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Connes–Moscovici Hopf algebras | en_US |
dc.subject | Hopf cyclic cohomology | en_US |
dc.subject | Cyclic cohomology | en_US |
dc.subject | Weil algebra | en_US |
dc.subject | Characteristic classes of foliations | en_US |
dc.subject | Hopf-cyclic cohomology | en_US |
dc.subject | Cup products | en_US |
dc.subject | Algebras | en_US |
dc.subject | Homology | en_US |
dc.subject | Theorem | en_US |
dc.title | Characteristic classes of foliations via SAYD-twisted cocycles | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.description.version | Author Post Print | en_US |
dc.relation.journal | Journal of Noncommutative Geometry | en_US |
dc.contributor.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.contributor.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.contributor.authorID | 0000-0003-0925-8668 | |
dc.identifier.volume | 9 | |
dc.identifier.issue | 3 | |
dc.identifier.startpage | 965 | |
dc.identifier.endpage | 998 | |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.contributor.institutionauthor | Sütlü, Serkan Selçuk | en_US |
dc.relation.index | WOS | en_US |
dc.relation.index | Scopus | en_US |
dc.relation.index | Science Citation Index Expanded (SCI-EXPANDED) | en_US |
dc.description.quality | Q2 | |
dc.description.wosid | WOS:000366074500010 | |