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
Homotopy nilpotent Lie groups have no torsion in homology.
Homotopy properties of decomposition spaces
Homotopy representations of finite groups
Homotopy separators and mappings into cubes
Homotopy theory and circle actions on symplectic manifolds
Homotopy Triangulations of Pseudo Lens Spaces and Actions on Products of Spheres.
Homotopy type of automorphism groups of manifolds
Homotopy type of symplectomorphism groups of .
Homotopy types of locally linear representation forms.
Homotopy uniqueness of BG2.
Homotopy-equivariance.