Homotopy and Homology Vanishing Theorems and the Stability of Stochastic Flows.
Homotopy and isotopy in dimension three.
Homotopy characterization of weakly flat knots
Homotopy Classification of Equivariant Regular Sections.
Homotopy classification of nanophrases with at most four letters
We give a homotopy classification of nanophrases with at most four letters. It is an extension of the classification of nanophrases of length 2 with at most four letters, given by the author in a previous paper. As a corollary, we give a stable classification of ordered, pointed, oriented multi-component curves on surfaces with minimal crossing number less than or equal to 2 such that any equivalent curve has no simply closed curves in its components.
Homotopy classification of regular sections
Homotopy Decompositions of Equivariant Function Spaces. II. Function Spaces of Equivariantly Triangulated Spaces.
Homotopy Decompostitions of Equivariant Function Spaces.
Homotopy dimension and simple cohomological dimension of spaces.
Homotopy Equivaleces of Almost Smooth Manifolds
Homotopy equivalent group representations and Picard groups of the burnside ring and the character ring.
Homotopy for small multifunctions
Homotopy groups of arc complements in or Q
Homotopy invariance of higher signatures and -manifold groups
For closed oriented manifolds, we establish oriented homotopy invariance of higher signatures that come from the fundamental group of a large class of orientable -manifolds, including the “piecewise geometric” ones in the sense of Thurston. In particular, this class, that will be carefully described, is the class of all orientable -manifolds if the Thurston Geometrization Conjecture is true. In fact, for this type of groups, we show that the Baum-Connes Conjecture With Coefficients holds. The...
Homotopy invariants of links.
Homotopy 's with several symplectic structures.
Homotopy Lie algebras and fundamental groups via deformation theory
We formulate first results of our larger project based on first fixing some easily accessible invariants of topological spaces (typically the cup product structure in low dimensions) and then studying the variations of more complex invariants such as (the homotopy Lie algebra) or (the graded Lie algebra associated to the lower central series of the fundamental group). We prove basic rigidity results and give also an application in low-dimensional topology.
Homotopy Lie algebras; lower central series and the Koszul property.
Homotopy Linear Involutions on Spheres in the Unstable Range.
Homotopy negligible subsets of bundles