The Cohomology of the Morava Stabilizer Algebras.
The complex of words and Nakaoka stability.
The connective K-theory of spinor groups.
We study the properties of the connective K-theory with Z2 coefficients of the Lie groups Spin(n). This generalises some work by L. Hodgkin.
The cyclic groups and the free loop space.
The cyclic homology of p-adic reductive groups.
The cyclotomic trace and algebraic K-theory of spaces.
The de Rham theorem for the noncommutative complex of Cenkl and Porter.
The eta invariant and metrics of positive scalar curvature.
The eta invariant and the K-theory of odd dimensional spherical space forms.
The Extraordinary Derived Category.
The fixed-point conjecture and monoids on a manifold with boundary.
The generalized Boardman homomorphisms
This paper provides universal upper bounds for the exponent of the kernel and of the cokernel of the classical Boardman homomorphism b n: π n(X)→H n(H;ℤ), from the cohomotopy groups to the ordinary integral cohomology groups of a spectrum X, and of its various generalizations π n(X)→E n(X), F n(X)→(E∧F)n(X), F n(X)→H n(X;π 0 F) and F n(X)→H n+t(X;π t F) for other cohomology theories E *(−) and F *(−). These upper bounds do not depend on X and are given in terms of the exponents of the stable homotopy...
The Generalized Smith Indices. I.
The Generalized Smith Indices. II.
The geometric genus of hypersurface singularities
Using the path lattice cohomology we provide a conceptual topological characterization of the geometric genus for certain complex normal surface singularities with rational homology sphere links, which is uniformly valid for all superisolated and Newton non-degenerate hypersurface singularities.
The Hochschild cohomology of a closed manifold
Let M be a closed orientable manifold of dimension dand be the usual cochain algebra on M with coefficients in a fieldk. The Hochschild cohomology of M, is a graded commutative and associative algebra. The augmentation map induces a morphism of algebras . In this paper we produce a chain model for the morphism I. We show that the kernel of I is a nilpotent ideal and that the image of I is contained in the center of , which is in general quite small. The algebra is expected to be isomorphic...
The homology and Morava K-theory of ..2SU(n).
The homotopy axiom in semialgebraic cohomology.
The Hurewicz and Whitehead theorems with compact carriers
The Jeffrey-Kirwan localization theorem and residue operations in equivariant cohomology.