The aim of this paper is to construct a natural mapping , , from the multiplicative -theory of a differential manifold , associated to the trivial filtration of the de Rham complex, as defined by M. Karoubi in [C. R. Acad. Sci., Paris, Sér. I 302, 321-324 (1986; Zbl 0593.55004)] to the odd cohomology . By using this mapping, the author associates to any flat complex vector bundle on characteristic classes analogous to the classes studied by S. Chern, J. Cheeger and J. Simons in [Differential characters and geometric invariants, in ‘Geometry and topology’, Lect. Notes Math. 1167, 50-80 (1985; Zbl 0621.57010), Characteristic forms and geometric invariants, Ann. Math., II. Ser. 99, 48-69 (1974; Zbl 0283.53036)].
@article{701504, title = {A K-theoretic approach to Chern-Cheeger-Simons invariants}, booktitle = {Proceedings of the Winter School "Geometry and Physics"}, series = {GDML\_Books}, publisher = {Circolo Matematico di Palermo}, address = {Palermo}, year = {1993}, pages = {[27]-34}, mrnumber = {MR1246617}, zbl = {0790.57015}, url = {http://dml.mathdoc.fr/item/701504} }
Pekonen, Osmo. A K-theoretic approach to Chern-Cheeger-Simons invariants, dans Proceedings of the Winter School "Geometry and Physics", GDML_Books, (1993), pp. [27]-34. http://gdmltest.u-ga.fr/item/701504/