Rational $S^1$-Equivariant Stable Homotopy Theory
Author: John Patrick Campbell Greenlees
Publisher: American Mathematical Soc.
Published: 1999
Total Pages: 306
ISBN-13: 0821810014
DOWNLOAD EBOOKThe memoir presents 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.