CHERN APPROXIMATIONS FOR GENERALISED GROUP COHOMOLOGY (2008)
Abstract. Let G be a finite group and E is a suitable generalised cohomology theory. We define and study a ring C(E,G) that is the best possible approximation to E 0 BG that can be built using...
Axiomatic stable homotopy - a survey (2003)
We survey various approaches to axiomatic stable homotopy theory, with examples including derived categories, categories of (possibly equivariant or localized) spectra, and stable categories of...
Realising formal groups (2002)
We show that a large class of formal groups can be realised functorially by even periodic ring spectra. The main advance is in the construction of morphisms, not of objects.
Complex cobordism of involutions (2001)
We give a simple and explicit presentation of the Z/2-equivariant complex cobordism ring.
Common subbundles and intersections of divisors (2000)
Let V_0 and V_1 be complex vector bundles over a space X. We use the theory of divisors on formal groups to give obstructions in generalised cohomology that vanish when V_0 and V_1 can be embedded in...
Varieties and local cohomology for chromatic group cohomology rings (1999)
where E is a suitable complete periodic complex oriented theory and G is a finite group: we describe its variety in terms of the formal group associated to E, and the category of abelian p-subgroups...
Elliptic spectra, the Witten genus and the theorem of the cube (1997)
M. Ando, M. J. Hopkins, N. P. Strickland
2. More detailed results 7 2.1. The algebraic geometry of even periodic ring spectra 7