Rational $S^1$-Equivariant Stable Homotopy Theory
Download or Read eBook Rational $S^1$-Equivariant Stable Homotopy Theory PDF written by John Patrick Campbell Greenlees and published by American Mathematical Soc.. This book was released on 1999 with total page 306 pages. Available in PDF, EPUB and Kindle.
Author | : John Patrick Campbell Greenlees |
Publisher | : American Mathematical Soc. |
Total Pages | : 306 |
Release | : 1999 |
ISBN-10 | : 9780821810019 |
ISBN-13 | : 0821810014 |
Rating | : 4/5 (19 Downloads) |
Book Synopsis Rational $S^1$-Equivariant Stable Homotopy Theory by : John Patrick Campbell Greenlees
Book excerpt: 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.