Handle-decompositions of -manifolds
Harmonic morphisms and circle actions on 3- and 4-manifolds
Harmonic morphisms are considered as a natural generalization of the analytic functions of Riemann surface theory. It is shown that any closed analytic 3-manifold supporting a non-constant harmonic morphism into a Riemann surface must be a Seifert fibre space. Harmonic morphisms from a closed 4-manifold to a 3-manifold are studied. These determine a locally smooth circle action on with possible fixed points. This restricts the topology of . In all cases, a harmonic morphism from a closed...
Hausdorff combing of groups and for universal covering spaces of closed 3-manifolds
h-cobordism and s-cobordism Theorems: Transfer over Semialgebraic and Nash Categories, Uniform bound and Effectiveness
The h-cobordism theorem is a noted theorem in differential and PL topology. A generalization of the h-cobordism theorem for possibly non simply connected manifolds is the so called s-cobordism theorem. In this paper, we prove semialgebraic and Nash versions of these theorems. That is, starting with semialgebraic or Nash cobordism data, we get a semialgebraic homeomorphism (respectively a Nash diffeomorphism). The main tools used are semialgebraic triangulation and Nash approximation.One aspect of...
h-cobordisms between 1-connected 4-manifolds.
Heegaard diagrams and surgery descriptions for twisted face-pairing 3-manifolds.
Heegaard gradient and virtual fibers.
Heegaard splittings and Morse-Smale flows.
Heegaard splittings and virtually Haken Dehn filling.
Heegaard splittings and virtually Haken Dehn filling. II.
Heegaard splittings of graph manifolds.
Heegaard splittings of Seifert fibered spaces.
Heegaard splittings of (surface) x I are standars.
Heegaard splittings of the pair of solid torus and the core loop.
We show that any Heegaard splitting of the pair of the solid torus (≅D2xS1) and its core loop (an interior point xS1) is standard, using the notion of Heegaard splittings of pairs of 3-manifolds and properly imbedded graphs, which is defined in this paper.
Heegard and regular genus agree for compact -manifolds
Hegaard genus of closed orientable Seifert 3-manifolds.
Hénon mappings in the complex domain I : the global topology of dynamical space
Higher order intersection numbers of 2-spheres in 4-manifolds.
Hilbert cube modulo an arc
HKR-type invariants of 4-thickenings of 2-dimensional CW complexes.