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Characteristic classes for G-structures

Differential Geometry and Its Applications, 1993
Let $G\subset GL(V)$ be a linear Lie group with Lie algebra $\frak g$ and let $A(\frak g)^G$ be the subalgebra of $G$-invariant elements of the associative supercommutative algebra $A(\frak g)= S(\frak g^*)\otimes \La(V^*)$. To any $G$-structure $π:P\to M$ with a connection $ω$ we associate a homomorphism $μ_ω:A(\frak g)^G\to Ω(M)$.
Dmitri V Alekseevsky
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‘ON DIFFERENTIAL CHARACTERISTIC CLASSES’ [PDF]

Journal of the Australian Mathematical Society, 2014
In this erratum we correct a mistake in Ho [‘On differential characteristic classes’, J. Aust. Math. Soc.99(1) (2015), 30–47].
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A note on characteristic classes [PDF]

Czechoslovak Mathematical Journal, 2006
This paper studies the relationship between the sections and the Chern or Pontrjagin classes of a vector bundle by the theory of connection. Our results are natural generalizations of the Gauss-Bonnet Theorem.
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CHARACTERISTIC CLASSES OF CAMERAL COVERS [PDF]

Transformation Groups, 2018
30 ...
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Secondary characteristic classes and the Euler class

, 2015
We discuss secondary (and higher) characteristic classes for algebraic vector bundles with trivial top Chern class. We show that if X is a smooth affine scheme of dimension d over a field k of finite 2-cohomological dimension (with char(k) $\neq$ 2) and E is a rank d vector bundle over X, vanishing of the Chow-Witt theoretic Euler class of E is ...
Fasel, Jean, Asok, Aravind
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Characteristic Classes of Hypersurfaces and Characteristic Cycles

, 1998
We give a new formula for the Chern-Schwartz-MacPherson class of a hypersurface in a nonsigular compact complex analytic variety. In particular this formula generalizes our previous result on the Euler characteristic of such a hypersurface. Two different approaches are presented. The first is based on the theory of characteristic cycle and the works of
Parusiński, Adam, Pragacz, Piotr
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Tautological characteristic classes, I

Algebraic & Geometric Topology
33 ...
Dymara, Jan, Januszkiewicz, Tadeusz
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On operations and characteristic classes

, 2007
In this paper exterior products are used to define operations and characteristic classes with values in the K-theory of an abelian category with tensor and exterior products. We apply the general construction to define Chern and Segre classes with values in algebraic K-theory and the K-theory of connections.
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Characteristic classes of $\ai$-algebras

, 2008
Standard combinatorial construction, due to Kontsevich, associates to any $\ai$-algebra with an invariant inner product, an inhomogeneous class in the cohomology of the moduli spaces of Riemann surfaces with marked points. We propose an alternative version of this construction based on noncommutative geometry and use it to prove that homotopy ...
Hamilton, Alastair, Lazarev, Andrey
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On a class of foliations and the evaluation of their characteristic classes [PDF]

Commentarii Mathematici Helvetici, 1977
Kamber, Franz W., Tondeur, Philippe
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