The Heegaard genus of manifolds obtained by surgery on links and knots.
The height function on the 2-dimensional cohomology of a flag manifold.
The height of the first Stiefel-Whitney class of any nonorientable real flag manifold
The Hilbert modular group, resolution of the singularities at the cusps and related problems
The Hochschild cohomology of a closed manifold
Let M be a closed orientable manifold of dimension dand be the usual cochain algebra on M with coefficients in a fieldk. The Hochschild cohomology of M, is a graded commutative and associative algebra. The augmentation map induces a morphism of algebras . In this paper we produce a chain model for the morphism I. We show that the kernel of I is a nilpotent ideal and that the image of I is contained in the center of , which is in general quite small. The algebra is expected to be isomorphic...
The Hodge de Rham theory of relative Malcev completion
The *-holonomy group of the Stefan suspension of a diffeomorphism
The definition of a Stefan suspension of a diffeomorphism is given. If is the Stefan suspension of the diffeomorphism g over a Stefan foliation , and G₀ ∈ satisfies the condition , then we compute the *-holonomy group for the leaf determined by G₀. A representative element of the *-holonomy along the standard imbedding of S¹ into F₀ is characterized. A corollary for the case when G₀ contains only one point is derived.
The homeomorphism group of a three-dimensional polyhedron is locally contractible
The Homflypt skein module of a connected sum of 3-manifolds.
The Homology of Cyclic and Irregular Dihedral Coverings Branched Over Homology Spheres.
The homology of cyclic branched covers of S3.
The homology of irregular dihedral branched covers of S3.
The homology of some groups of diffeomorphisms.
The homology of Ω(X v Y).
The Homotopoy Type of Four-Dimensional Knot Complements.
The homotopy dimension of codiscrete subsets of the 2-sphere 𝕊²
Andreas Zastrow conjectured, and Cannon-Conner-Zastrow proved, that filling one hole in the Sierpiński curve with a disk results in a planar Peano continuum that is not homotopy equivalent to a 1-dimensional set. Zastrow's example is the motivation for this paper, where we characterize those planar Peano continua that are homotopy equivalent to 1-dimensional sets. While many planar Peano continua are not homotopy equivalent to 1-dimensional compacta, we prove that each has fundamental group that...
The Homotype Type of a Combinatorially Aspherical Presentation.
The Hörmander and Maslov classes and Fomenko's conjecture.
The Hurwitz Relation for Tori.
The hyperKähler geometry associated to Wolf spaces
Sia un grupo di Lie compatto e semplice. Sia la più piccola orbita nilpotente non-banale nell'algebra di Lie complessa . Si presenta una costruzione diretta di teoria di Lie delle metriche iperKahler su con potenziale Kahleriano -invariante e compatibili con la forma simplettica complessa di Kostant-Kirillov-Souriau. In particolare si ottengono le metriche iperKahler dei fibrati associati sugli spazi di Wolf (spazi simmetrici quaternionali a curvatura scalare positiva).