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- W2002176871 abstract "We define a cyclic cocycle which corresponds to the piecewise linear Godbillon–Vey class of Ghys and Sergiescu [E. Ghys, V. Sergiescu, Sur un groupe remarquable de difféomorphismes du cercle, Comment. Math. Helv. 62 (1987) 185–239]. Using Connes's pairing [A. Connes, Non-commutative differential geometry. Part II: De Rham homology and noncommutative algebra, Publ. Math. Inst. Hautes Études Sci. 62 (1985) 257–360; A. Connes, Cyclic cohomology and the transverse fundamental class of a foliation, in: H. Araki, G. Effros (Eds.), Geometric Methods in Operator Algebras, Pitman Res. Notes Math. Ser., vol. 123, Longman, Harlow, 1986, pp. 52–144] between cyclic cohomology and K-theory, we then evaluate this cocycle on a suitable K-theory class and obtain a nontrivial result, for foliations of the 3-torus by slope components." @default.
- W2002176871 created "2016-06-24" @default.
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- W2002176871 date "2006-05-01" @default.
- W2002176871 modified "2023-10-14" @default.
- W2002176871 title "The Godbillon–Vey cyclic cocycle for PL-foliations" @default.
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- W2002176871 doi "https://doi.org/10.1016/j.jfa.2005.10.010" @default.
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