Maria Basterra

André–Quillen cohomology of commutative S-algebras

Abstract We define topological Andre–Quillen cohomology of commutative S -algebras and construct a spectral sequence that calculates the Andre–Quillen cohomology of commutative S -algebras over H F p .

Homology and cohomology of E∞ ring spectra

Abstract.Every homology or cohomology theory on a category of E∞ ring spectra is Topological André–Quillen homology or cohomology with appropriate coefficients. Analogous results hold more generally for categories of algebras over operads.

The multiplication on BP

BP is an E4 ring spectrum. The E4 structure is unique up to automorphism.

Γ-homology, topological André-Quillen homology and stabilization

Abstract The quest for an obstruction theory to E ∞ ring structures on a spectrum has led a number of authors to the investigation of homology in the category of E ∞ algebras. In this note we present three, apparently very different, constructions and show that when specialized to commutative rings they all agree.

Women in Topology

We consider the action of p-toral subgroups of U(n) on the unitary partition complex Ln. We show that if H ⊆ U(n) has noncontractible fixed points on Ln, then the image of H in the projective unitary group U(n)/S is an elementary abelian pgroup.