What is the best paper or book studying the P homomorphism, J homomorphism and Hopf invariant in Homotopy theory? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T21:53:53Z http://mathoverflow.net/feeds/question/76042 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/76042/what-is-the-best-paper-or-book-studying-the-p-homomorphism-j-homomorphism-and-ho What is the best paper or book studying the P homomorphism, J homomorphism and Hopf invariant in Homotopy theory? Jino 2011-09-21T09:34:51Z 2011-09-27T05:54:50Z <p>I want to study P &amp; J homomorphisms and Hopf invariant in Homotopy theory.</p> <p>I have some paper, but I don't know what is first and what is nice.</p> <p>Please recommend to me.</p> http://mathoverflow.net/questions/76042/what-is-the-best-paper-or-book-studying-the-p-homomorphism-j-homomorphism-and-ho/76062#76062 Answer by David White for What is the best paper or book studying the P homomorphism, J homomorphism and Hopf invariant in Homotopy theory? David White 2011-09-21T13:55:36Z 2011-09-21T13:55:36Z <p>Doug Ravenel's "Complex Cobordism and the Stable Homotopy Groups of Spheres" does a nice job with the J-homomorphism and the Hopf Invariant, as well as a whole lot more. I don't recall if he talks about the P-homomorphism. This book is colloquially called the Green Book, but the second edition is actually red.</p> http://mathoverflow.net/questions/76042/what-is-the-best-paper-or-book-studying-the-p-homomorphism-j-homomorphism-and-ho/76103#76103 Answer by Andrew Ranicki for What is the best paper or book studying the P homomorphism, J homomorphism and Hopf invariant in Homotopy theory? Andrew Ranicki 2011-09-22T05:59:55Z 2011-09-22T05:59:55Z <p>The lecture I gave in Bonn in 2008 <a href="http://www.maths.ed.ac.uk/~aar/slides/bonn3.pdf" rel="nofollow">http://www.maths.ed.ac.uk/~aar/slides/bonn3.pdf</a> is an introduction to the Hopf invariant and its applications. </p> http://mathoverflow.net/questions/76042/what-is-the-best-paper-or-book-studying-the-p-homomorphism-j-homomorphism-and-ho/76473#76473 Answer by Dai Tamaki for What is the best paper or book studying the P homomorphism, J homomorphism and Hopf invariant in Homotopy theory? Dai Tamaki 2011-09-27T05:54:50Z 2011-09-27T05:54:50Z <p>I recommend <a href="http://www.ams.org/mathscinet-getitem?mr=0922923" rel="nofollow">a lecture note</a> by Fred Cohen for the EHP sequence, although it doesn't explain the J homomorphism.</p>