2 sonuçlar
Arama Sonuçları
Listeleniyor 1 - 2 / 2
Yayın Characteristic classes of foliations via SAYD-twisted cocycles(European Mathematical Society, 2015) Rangipour, Bahram; Sütlü, Serkan SelçukWe 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.Yayın Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients(Springer Heidelberg, 2018-12-01) Rangipour, Bahram; Sütlü, Serkan Selçuk; Aliabadi, F. YazdaniWe discuss a new strategy for the computation of the Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebra Hn. More precisely, we introduce a multiplicative structure on the Hopf-cyclic complex of Hn, and we show that the van Est type characteristic homomorphism from the Hopf-cyclic complex of Hn to the Gelfand-Fuks cohomology of the Lie algebra Wn of formal vector fields on Rn respects this multiplicative structure. We then illustrate the machinery for n = 1.
