Hodge integrals and invariants of the unknot.
Hodge numbers and invariant complex structures of compact nilmanifolds
In this paper, we consider several invariant complex structures on a compact real nilmanifold, and we study relations between invariant complex structures and Hodge numbers.
Hodge–type structures as link invariants
Based on some analogies with the Hodge theory of isolated hypersurface singularities, we define Hodge–type numerical invariants of any, not necessarily algebraic, link in a three–sphere. We call them H–numbers. They contain the same amount of information as the (non degenerate part of the) real Seifert matrix. We study their basic properties, and we express the Tristram–Levine signatures and the higher order Alexander polynomial in terms of them. Motivated by singularity theory, we also introduce...
Hofer-Zehnder capacity and length minimizing Hamiltonian paths.
Holomorphe Vektorbündel auf Pn mit c1 = 0 und c2 = 1.
Holomorphic 2-vector bundles on nonalgebraic 2-tori.
Holomorphic disks and genus bounds.
Holomorphic foliations in certain holomorphically convex domains of
Holomorphic Projective Structures on Compact Complex Surfaces. II.
Holomorphic Vector Fields with Simple Isolated Zeros.
Holomorphy of Eisenstein series at special points and cohomology of arithmetic subgroups of SLn (Q).
Holonomie et cycle évanouissant
On démontre que l’holonomie est non triviale au voisinage d’un cycle évanouissant au moyen d’un critère d’Imanishi et on donne une démonstration non standard de ce dernier.
Holonomie et feuilles exceptionnelles
Dans le présent travail, nous obtenons plusieurs caractérisations de feuilles propres et de feuilles denses des feuilletages transversalement de codimension 1 de variétés indifféremment compactes et non compactes.Ces caractéristiques sont algébriques et concernent la structure des semi-groupes sécants d’homotopie et d’homologie que nous avons définis et utilisés ailleurs.Par l’intermédiaire de corollaires sur l’existence d’holonomie dans l’adhérence des feuilles exceptionnelles, nous en déduisons...
Holonomy groups of complete flat manifolds
We present short direct proofs of two known properties of complete flat manifolds. They say that the diffeomorphism classes of m-dimensional complete flat manifolds form a finite set and that each element of is represented by a manifold with finite holonomy group.
Holonomy groups of five dimensional Bieberbach groups.
Holonomy, twisting cochains and characteristic classes
This paper contains a description of various geometric constructions associated with fibre bundles, given in terms of important algebraic object, the “twisting cochain". Our examples include the Chern-Weil classes, the holonomy representation and the so-called cyclic Chern character of Bismut and others (see [2, 11, 27]), also called the Bismut’s class. The later example is the principal one for us, since we are motivated by the attempt to find an algebraic approach to the Witten’s index formula....
Homeomorphic conjugates of Fuchsian groups.
Homeomorphic non-diffeomorphic surfaces with samll invariants.
Homeomorphism Groups and the Topologist's Sine Curve
It is shown that deleting a point from the topologist's sine curve results in a locally compact connected space whose autohomeomorphism group is not a topological group when equipped with the compact-open topology.
Homeomorphism groups of manifolds and Erdős space.