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.
Circle bundles, adiabatic limits of -invariants and Rokhlin congruences
We present a direct analytic treatment of the Rokhlin congruence formula R2 by calculating the adiabatic limit of -invariants of Dirac operators on circle bundles. Extensions to higher dimensions are obtained.
Classes caractéristiques exotiques et -connexité des espaces de connexions
Le but de ce travail est double : d’une part, généraliser la construction des classes exotiques pour l’appliquer à d’autres problèmes géométriques que ceux issus des -structures ; d’autre part, préciser, grâce à la notion de -connexité, remplaçant avantageusement les formules de dérivation utilisées précédemment, l’argument d’invariance homotopique permettant d’obtenir des théorèmes de rigidité, montrant simultanément pourquoi la seule connexité des ensembles de connexions considérés ne suffit...
Classes caractéristiques pour les cônes projectifs et homologie d'intersection.
Classes caractéristiques réelles de certains G-fibrés vectorials et résidus.
This work is a contribution to study residues of real characteristic classes of vector bundles on which act compact Lie groups. By using the Cech-De Rham complex, the realisation of the usual Thom isomorphism permites us to illustrate localisation techniques of some topological invariants.
Classes caractéristiques secondaires des fibrés plats
Classes de Chern et classes de cycles en cohomologie de Hodge-Witt logarithmique
Classes de Stiefel-Whitney de Formes quadratiques et de représentations galoisiennes réelles.
Classes isotropes et classes de Maslov
Classical and quantum dilogarithmic invariants of flat -bundles over 3-manifolds.
Cobordism Span of a Manifold and Elliptic Genera.