I want to study P & J homomorphisms and Hopf invariant in Homotopy theory.
I have some paper, but I don't know what is first and what is nice.
Please recommend to me.
I want to study P & J homomorphisms and Hopf invariant in Homotopy theory. I have some paper, but I don't know what is first and what is nice. Please recommend to me. 


Doug Ravenel's "Complex Cobordism and the Stable Homotopy Groups of Spheres" does a nice job with the Jhomomorphism and the Hopf Invariant, as well as a whole lot more. I don't recall if he talks about the Phomomorphism. This book is colloquially called the Green Book, but the second edition is actually red. 


The lecture I gave in Bonn in 2008 http://www.maths.ed.ac.uk/~aar/slides/bonn3.pdf is an introduction to the Hopf invariant and its applications. 


I recommend a lecture note by Fred Cohen for the EHP sequence, although it doesn't explain the J homomorphism. 

