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.
The Kervaire invariant of immersions.
The multiplicative structure of K(n)* (BA4).
Let K(n)*(-) be a Morava K-theory at the prime 2. Invariant theory is used to identify K(n)*(BA4) as a summand of K(n)*(BZ/2 × BZ/2). Similarities with H*(BA4;Z/2) are also discussed.
The non-criticality of certain families of affine varieties.
The order of the Hopf bundle on projective Stiefel manifolds
The Primitive Elements in MU* K(Z/p, 1).
The real K-ring of some CW-complexes of small dimension