The second real Johnson-Wilson theory and nonimmersions of RPⁿ, Part II

Nitu Kitchloo and W. Stephen Wilson

This paper is a continuation of the study begun in the previous paper with the same title. We analyze ER(2)^16*+8(RP²ⁿ) and compute ER(2)^*(RP^16K+1), and use these to prove more nonimmersion theorems for RPⁿ, including many in fairly low dimensions. In particular, we get 12 new nonimmersion results for RPⁿ where n < 192, the range included in the tables Don Davis keeps. These complement the 10 already found in the first paper.

Homology, Homotopy and Applications, Vol. 10 (2008), No. 3, pp.269-290.

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