"Foliations is one of the major concepts of modern geometry and topology meaning a partition of topological space into a disjoint sum of leaves. This book is devoted to geometry and topology of surface foliations and their links to ergodic theory, dynamical systems, complex anal…
The principal aim of this research is to establish certain formulas for the homology classes represented by the self-intersection loci of an immersed submanifold. This paper provides a generalization of a formula for higher order intersection multiplicities.
In this paper abelian branched coverings of smooth complex projective surfaces are studied. Geometric information about the coverings, such as the first Betti number of a smooth model or intersections of embedded curves, are related to topological and combinatorial information a…
by Akin, Ethan
fromMemoirs of the American Mathematical Society
Genera of the arborescent links ; Given a non-split oriented arborescent (often called algebraic, not be confused with complex algebraic) link we give an effective algorithm to construct a [italic]C[infinity symbol exponent] transversely oriented codimension one foliation [scrip…
A smooth submanifold whose inclusion has the same connectivity properties as the inclusion of a complex hypersurface is called taut. The diffeomorphism types of taut submanifolds are quite limited and a partial classification is obtained. The taut submanifolds are constructed us…
For a Lie algebra sheaf L of derivations of a sheaf of rings O on a space X global cohomology groups and local cohomology sheaves are introduced and analyzed. Global and local splitting obstructions for extensions of modules over a Lie algebra sheaf are studied. In the applicati…
We investigate higher-order cohomology operations (Massey products) on complements of links of circles in [italic]S³. These are known to be essentially equivalent to the [lowercase Greek]Mu [with macron]-invariants of John Milnor, which detect whether or not the longitudes of th…
The problem that we are concerned with is the existence and construction of embeddings of a given G-CW complex (G-manifold) in another G-CW complex (G-manifold) having a prescribed homotopy type and a prescribed family of isotropy subgroups.
