Skip to main content
Article thumbnail
Location of Repository

The second real Johnson-Wilson theory and non-immersions

By Nitu Kitchloo, W. Stephen Wilson and Communicated Donald M. Davis

Abstract

Hu and Kriz construct the real Johnson-Wilson spectrum, ER(n), which is 2n+2 (2n − 1)-periodic, from the 2(2n − 1)periodic spectrum E(n). ER(1) is just KO (2) and E(1) is just KU (2). We compute ER(n) ∗ (RP ∞ ) and set up a Bockstein spectral sequence to compute ER(n) ∗ (−) from E(n) ∗ (−). We combine these to compute ER(2) ∗ (RP 2n) and use this to get new nonimmersions for real projective spaces. Our lowest dimensional new example is an improvement of 2 for RP 48. 1

Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.161.9829
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.math.ucsd.edu/~nkit... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.