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In this paper a construction of characteristic classes for a subfoliation $(F_{1}, F_{2})$ is given by using Kamber-Tondeur’s techniques. For this purpose, the notion of $(F_{1}, F_{2})$ -foliated principal bundle, and the definition of its associated characteristic homomorphism, are introduced. The relation with the characteristic homomorphism of $F_{i}$ -foliated bundles, $i = 1, 2$ , the results of Kamber-Tondeur on the cohomology of $g$ - $D G$ -algebras. Finally, Goldman’s results on the restriction of foliated bundles to the leaves of a foliation...

Characteristic Homomorphisms of Regular Lie Algebroids

Jan Kubarski (1994)

Publications du Département de mathématiques (Lyon)

Characteristic Invariants of Foliated Bundles.

Ph. Tondeur, Franz W. Kamber (1973/1974)

Manuscripta mathematica

Characteristic numbers, bordism theory and the Novikov conjecture for open manifolds

Jürgen Eichhorn (2007)

Banach Center Publications

Cheeger-Chern-Simons classes of transversally symmetric foliations: Dependence relations and eta-invariants.

F.W. Kamber, J.L. Dupont (1993)

Mathematische Annalen

Chern classes, adeles and L-functions.

A.N. Parshin (1983)

Journal für die reine und angewandte Mathematik

Chern Classes and Extraspecial Groups.

David J. Green, Ian J. Leary (1995)

Manuscripta mathematica

Chern Classes of Rank 3 Stable Reflexive Sheaves.

Rosa M. Miró-Roig (1986)

Mathematische Annalen

Chern classes of vector bundles with singular connections

Guiseppe De Cecco (1982)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Si fa vedere che alcune classi di Chern di fibrati vettoriali complessi possono essere costruite non solo partendo da connessioni $C^{\infty}$ ma, sotto certe condizioni, anche da connessioni lineari singolari. Nel caso particolare del fibrato tangente possono essere costruite anche a partire da metriche singolari. Viene fatto uso in modo essenziale della $L_{2}$ -coomologia di de Rham (introdotta da Cheeger e Teleman).

Chern forms and the Riemann tensor for the moduli space ofcurves.

S.A. Wolpert (1986)

Inventiones mathematicae

Chern invariants of surfaces of general type

Ulf Persson (1981)

Compositio Mathematica

Chern numbers for singular varieties and elliptic homology.

Totaro, Burt (2000)

Annals of Mathematics. Second Series

Chern numbers of a Kupka component

Omegar Calvo-Andrade, Marcio G. Soares (1994)

Annales de l'institut Fourier

We will consider codimension one holomorphic foliations represented by sections $ω \in H^{0} (ℙ^{n}, Ω^{1} (k))$ , and having a compact Kupka component $K$ . We show that the Chern classes of the tangent bundle of $K$ behave like Chern classes of a complete intersection 0 and, as a corollary we prove that $K$ is a complete intersection in some cases.

Chern Numbers of Algebraic Surfaces.

F. Hirzebruch (1984)

Mathematische Annalen

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