Rational S1 Equivariant Stable Homotopy Theory
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Rational $S^1$-Equivariant Stable Homotopy Theory
Author | : John Patrick Campbell Greenlees |
Publisher | : American Mathematical Soc. |
Total Pages | : 306 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 0821810014 |
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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.
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