Keywords
- Exact Sequence
- Vector Bundle
- Grothendieck Group
- Chern Character
- Cyclic Homology
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References
A.A. Beilinson, Higher regulators and values of L-functions of curves. Funk. Analysis 14 (1980), p. 116–117.
A. Borel, Stable real cohomology of arithmetic groups. Annales Sci. Ec. Norm. Sup. 4 (1974), p. 253–272.
A. Borel and J.P. Serre, Le théorème de Riemann-Roch (d’après Grothendieck). Bull. Soc. Math. France 86 (1958), p. 97–136.
A. Connes, Non commutative differential geometry. Publ. Math. IHES No. 62 (1985), p. 257–360.
A. Connes and M. Karoubi, Caractère multiplicatif d’un module de Fredholm. C.R. Acad. Sci. Paris 299 (1984), p. 963–968.
S.S. Chern and J. Simons, Characteristic forms and geometric invariants. Annals of Math. 99 (1974), p. 48.
P. Deligne, Théorie de Hodge. Publ. Math. IHES 40 (1972), p. 5–57.
F.W. Kamber and P. Tondeur, Characteristic invariants of foliated bundles. Manuscripta Math. 11 (1974), p. 48–69.
M. Karoubi, Connexions, courbures et classes caractéristiques en K-théorie algébrique. Canadian Math. Soc. Conference Proceedings, 2 Part I (1982), p. 19–27.
_____, Four Notes in the Comptes Rendus Acad. Sci. Paris 297 (1983), p. 381–384, 447–450, 513–516, 557–560.
_____, Homologie cyclique et K-théorie. Astérisque No. 149, Société Mathématique de France (1987).
_____, Sur une théorie générale des classes caractéristiques secondaires (submitted to K-theory).
J.L. Loday and D. Quillen, Cyclic homology and the Lie algebra homology of matrices. Commentarii math. Helvetici 59 (1984), p. 565–591.
D. Quillen, Higher algebraic K-theory. Lecture Notes in Math. No. 341 (1973).
J. P. Serre, Géométrie algébrique et géométrie analytique. Ann. Inst. Fourier No. 6 (1955), p. 1–42.
C. Soule, Connexions et classes caractéristiques de Beilinson. Prépublication IHES (1985).
A. Suslin, On the K-theory of local fields. J. Pure Appl. Algebra 34 (1984), p. 301–318.
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© 1989 Springer-Verlag
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Karoubi, M. (1989). Cyclic homology and characteristic classes of bundles with additional structures. In: Carlsson, G., Cohen, R., Miller, H., Ravenel, D. (eds) Algebraic Topology. Lecture Notes in Mathematics, vol 1370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085231
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DOI: https://doi.org/10.1007/BFb0085231
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