Rational Sp1S-Equivariant Stable Homotopy Theory

The 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.Greenlees, J. P. C. is the author of 'Rational Sp1S-Equivariant Stable Homotopy Theory' with ISBN 9780821810019 and ISBN 0821810014.