69 citations · 179 across the 35 of their papers we have counts for
7 papers · 1 filter
The Hopf Rings for KO and KU
Dena S. Cowen Morton, Neil P. Strickland
We compute the mod two homology Hopf rings of the spectra KO and KU. The spaces in these spectra are the infinite classical groups and their coset spaces, and their homology was fi…
Products on MU-modules
Neil P. Strickland
We use the new categories of spectra and MU-modules constructed by Elmendorf, Kriz, Mandell and May to get improved results about multiplicative structures on spectra such as P(n)…
Formal schemes and formal groups
Neil P. Strickland
We set up a framework for using algebraic geometry to study the generalised cohomology rings that occur in algebraic topology. This idea was probably first introduced by Quillen an…
The BP<n> cohomology of elementary abelian groups
Neil P. Strickland
In this paper we study E^*BV_k, where E=BP<m,n> is a cohomology theory with coefficient ring F_p[v_m,...,v_n] (if m>0) or Z_(p)[v_1,...,v_n] (if m=0). We use ideas from the theory…
K(n)-local duality for finite groups and groupoids
Neil P. Strickland
We define an inner product (suitably interpreted) on the K(n)-local spectrum LG := L_{K(n)}BG_+, where G is a finite group or groupoid. This gives an inner product on E^*BG_+ for s…
Gross-Hopkins duality
Neil P. Strickland
We give a new and simpler proof of a result of Hopkins and Gross relating Brown-Comenetz duality to Spanier-Whitehead duality in the K(n)-local stable homotopy category.