Characteristic classes of foliations via SAYD-twisted cocycles
Yükleniyor...
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
European Mathematical Society
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Connes–Moscovici Hopf algebras, Hopf cyclic cohomology, Cyclic cohomology, Weil algebra, Characteristic classes of foliations, Hopf-cyclic cohomology, Cup products, Algebras, Homology, Theorem
Kaynak
Journal of Noncommutative Geometry
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
9
Sayı
3
Künye
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
