Physical Sciences and Mathematics Commons^™

On The Bordism Ring Of Complex Projective Space, Claude Schochet

Mathematics Faculty Research Publications

The bordism ring MU∗(CP^∞) is central to the theory of formal groups as applied by D. Quillen, J. F. Adams, and others recently to complex cobordism. In the present paper, rings E∗(CP^∞) are considered, where E is an oriented ring spectrum, R=π∗(E), and pR=0 for a prime p. It is known that E∗(CP^∞) is freely generated as an R-module by elements {β_τ|r≧0}. The ring structure, however, is not known. It is shown that the elements {β …