Download or read book Rational S-Equivariant Stable Homotopy Theory written by John Patrick Campbell Greenlees and published by American Mathematical Society(RI). This book was released on 2014-09-11 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic study of rational S1-equivariant cohomology theories and a complete algebraic model for them. It provides a classification of such cohomology theories in simple algebraic terms and a practical means of calculation. The power of the model is illustrated by analysis of the Segal conjecture, the behaviour of the Atiyah-Hirzebruch spectral sequence, the structure of S1-equivariant K-theory, and the rational behaviour of cyclotomic spectra and the topological cyclic homology construction.