Rational S^1-Equivariant Stable Homotopy Theory
- ISBN-10
- 0821810014
- ISBN-13
- 9780821810019
- Category
- Mathematics
- Pages
- 289
- Language
- English
- Published
- 1999
- Publisher
- American Mathematical Soc.
- Author
- John Patrick Campbell Greenlees
Description
The memoir presents a systematic study of rational $S^1$-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 $S^1$-equivariant $K$-theory, and the rational behaviour of cyclotomic spectra and the topological cyclic homology construction.
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