The normalizer of the Weyl group.
The normalizer splitting conjecture for p-compact groups
Let X be a p-compact group, with maximal torus BT → BX, maximal torus normalizer BN and Weyl group . We prove that for an odd prime p, the fibration has a section, which is unique up to vertical homotopy.
The Novikov conjecture and low-dimensional topology.
The Primary v...-periodic Family.
The Primitive Elements in MU* K(Z/p, 1).
The Radius of Convergence of Poincaré Series of Loop Spaces.
The rational homotopy of Thom spaces and the smoothing of homology classes.
The rational homotopy of Thom spaces and the smoothing of isolated singularities
Rational homotopy methods are used for studying the problem of the topological smoothing of complex algebraic isolated singularities. It is shown that one may always find a suitable covering which is smoothable. The problem of the topological smoothing (including the complex normal structure) for conical singularities is considered in the sequel. A connection is established between the existence of certain relations between the normal Chern degrees of a smooth projective variety and the question...
The rational homotopy theory of smooth, complex projective varieties
The rational homotopy type of configuration spaces of two points
We prove that the rational homotopy type of the configuration space of two points in a -connected closed manifold depends only on the rational homotopy type of that manifold and we give a model in the sense of Sullivan of that configuration space. We also study the formality of configuration spaces.
The real K-ring of some CW-complexes of small dimension
The relation between homotopy limits and Bauer's shape singular complex
The Salvetti complex and the little cubes
For a real central arrangement , Salvetti introduced a construction of a finite complex Sal which is homotopy equivalent to the complement of the complexified arrangement in [Sal87]. For the braid arrangement , the Salvetti complex Sal serves as a good combinatorial model for the homotopy type of the configuration space of points in , which is homotopy equivalent to the space of k little -cubes. Motivated by the importance of little cubes in homotopy theory, especially in the study of...
The set of rational homotopy types with given cohomology algebra.
The shape genus of a shape map
The shape of a category up to directed homotopy.
The shape of a group---connections between shape theory and the homology of groups
The shape of a map
The smooth Whitehead spectrum of a point at odd regular primes.
The space of intervals in a Euclidean space.