Formal schemes and formal groups
Neil P. Strickland
14L05; 55N22
math.AT/0011121
Department of Pure Mathematics
University of Sheffield
Hicks Building
Hounsfield Road
Sheffield S3 7RH
UK
N.P.Strickland@sheffield.ac.uk
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 and it underlies much of
our understanding of complex oriented cohomology theories, exemplified
by the work of Morava. Most of the results have close and well-known
analogues in the algebro-geometric literature, but with different
definitions or technical assumptions that are often inconvenient for
topological applications. We merely put everything together in a
systematic and convenient way.