Beta-elements and divided congruences

The f-invariant is an injective homomorphism from the 2-line of the Adams-Novikov spectral sequence to a group which is closely related to divided congruences of elliptic modular forms. We compute the f-invariant for two infinite families of beta-elements and explain the relation of the arithmetic of divided congruences with the Kervaire invariant one problem.Comment: minor changes; final version, to appear in Amer. J. Mat

Schubert calculus for algebraic cobordism

We establish a Schubert calculus for Bott-Samelson resolutions in the algebraic cobordism ring of a complete flag variety G/B.Comment: 27 pages, Appendix added, slightly abridged version to appear in Crell

Equivariant semi-topological K-homology and a theorem of Thomason

We generalize several comparison results between algebraic, semi-topological and topological K-theories to the equivariant case with respect to a finite group.Comment: Corrects error found by referee in Theorem 4.1. Final version, to appear in J. of K-theor

Real topological Hochschild homology of schemes

We prove that real topological Hochschild homology THR for schemes with involution satisfies base change and descent for the Z/2-isovariant \'etale topology. As an application, we provide computations for the projective line (with and without involution) and the higher dimensional projective spaces.Comment: Minor corrections. 51 pages, final version, to appear in J. Inst. Math. Jussie