The second real Johnson-Wilson theory and nonimmersions of $RP^n$, Part II

Abstract

This paper is a continuation of the study begun in the previous paper with the same title. We analyze $ER(2)^{16*+8}(RP^{2n})$ and compute $ER(2)*(RP^{16K+1})$, and use these to prove more nonimmersion theorems for $RP^n$, including many in fairly low dimensions. In particular, we get 12 new nonimmersion results for $RP^n$ where $n < 192$, the range included in the tables Don Davis keeps. These complement the 10 already found in the first paper.