Characteristic Numbers of G-Manifolds. I.
Cheeger-Chern-Simons classes of transversally symmetric foliations: Dependence relations and eta-invariants.
Cheeger's finiteness theorem for diffeomorphism classes of Riemannian manifolds.
Chern classes, adeles and L-functions.
Chern Classes and Extraspecial Groups.
Chern classes of integral submanifolds of some contact manifolds.
Chern Classes of Rank 3 Stable Reflexive Sheaves.
Chern classes of vector bundles with singular connections
Si fa vedere che alcune classi di Chern di fibrati vettoriali complessi possono essere costruite non solo partendo da connessioni 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 -coomologia di de Rham (introdotta da Cheeger e Teleman).
Chern forms and the Riemann tensor for the moduli space ofcurves.
Chern invariants of surfaces of general type
Chern numbers for singular varieties and elliptic homology.
Chern numbers of a Kupka component
We will consider codimension one holomorphic foliations represented by sections , and having a compact Kupka component . We show that the Chern classes of the tangent bundle of behave like Chern classes of a complete intersection 0 and, as a corollary we prove that is a complete intersection in some cases.
Chern Numbers of Algebraic Surfaces.
Chern numbers of cusp resolutions in totally real cubic number fields.
Chern numbers of Hilbert modular varieties.
Chern numbers of kernel and cokernel bundles. Appendix to "On the Kodaira dimension of the moduli space of curves, II. The even-genus case" by J. Harris.
Chern rank of complex bundle
Motivated by the work of A. C. Naolekar and A. S. Thakur (2014) we introduce notions of upper chern rank and even cup length of a finite connected CW-complex and prove that upper chern rank is a homotopy invariant. It turns out that determination of upper chern rank of a space sometimes helps to detect whether a generator of the top cohomology group can be realized as Euler class for some real (orientable) vector bundle over or not. For a closed connected -dimensional complex manifold we obtain...
Chernklassen semi-stabiler Rang-3-Vektorbündel auf kubischen Dreimannigfaltikgkeiten.
Chern-Simons forms of pseudo-Riemannian homogeneity on the oscillator group.
Chern-Simons invariants of 3-manifolds and representation spaces of knot groups.