Rational S-equivariant Stable Homotopy Theory (Memoirs of the American Mathematical Society) - Softcover

Greenlees, J. P. C.

 
9780821810019: Rational S-equivariant Stable Homotopy Theory (Memoirs of the American Mathematical Society)

Inhaltsangabe

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 behavior of the Atiyah-Hirzebruch spectral sequence, the structure of $S^1$-equivariant $K$-theory, and the rational behavior of cyclotomic spectra and the topological cyclic homology construction.

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Reseña del editor

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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