The First Cohomology Group of Leaves and Local Stability of Compact Foliations.
The fixed group of an automorphism of a word hyperbolic group is rational.
The fixed-point conjecture and monoids on a manifold with boundary.
The flow completion of a manifold with vector field.
The forcing relation for horseshoe braid types.
The Formal Dimension of a Toplogical Space.
The Free Loop Space of Globally Symmetric Spaces.
The free rank of symmetry of (Sn)k.
The Fujiki class and positive degree maps
We show that a map between complex-analytic manifolds, at least one ofwhich is in the Fujiki class, is a biholomorphism under a natural condition on the second cohomologies. We use this to establish that, with mild restrictions, a certain relation of “domination” introduced by Gromov is in fact a partial order.
The Fukumoto-Furuta and the Ozsváth-Szabó invariants for spherical 3-manifolds
We show that the Fukumoto-Furuta invariant for a rational homology 3-sphere M, which coincides with the Neumann-Siebenmann invariant for a Seifert rational homology 3-sphere, is the same as the Ozsváth-Szabó's correction term derived from the Heegaard Floer homology theory if M is a spherical 3-manifold.
The fundamental group and Galois coverings of hexagonal systems in 3-space.
The fundamental group and the spectrum of the Laplacian.
The fundamental group of compact manifolds without conjugate points.
The Fundamental Group of Fibered Knot Cobordisms.
The fundamental groups of subsets of closed surfaces inject into their first shape groups.
The genera, reflexibility and simplicity of regular maps
This paper uses combinatorial group theory to help answer some long-standing questions about the genera of orientable surfaces that carry particular kinds of regular maps. By classifying all orientably-regular maps whose automorphism group has order coprime to , where is the genus, all orientably-regular maps of genus for prime are determined. As a consequence, it is shown that orientable surfaces of infinitely many genera carry no regular map that is chiral (irreflexible), and that orientable...
The generalized Schoenflies theorem for absolute suspensions
The aim of this paper is to prove the generalized Schoenflies theorem for the class of absolute suspensions. The question whether the finite-dimensional absolute suspensions are homeomorphic to spheres remains open. Partial solution to this question was obtained in [Sz] and [Mi]. Morton Brown gave in [Br] an ingenious proof of the generalized Schoenflies theorem. Careful analysis of his proof reveals that modulo some technical adjustments a similar argument gives an analogous result for the class...
The Generalized Smith Indices. I.
The Generalized Smith Indices. II.
The genus of PSl2 (q).