J. P. C. Greenlees
Published 2017-05-25Version 1
We give an account of well known calculations of the RO(Q)-graded coefficient rings of some of the most basic Q-equivariant cohomology theories, where Q is a group of order 2. One purpose is to advertise the effectiveness of the Tate square, showing it has advantages over the slice spectral sequences in algebraically simple cases. A second purpose is to give a single account showing how to translate between the languages of different approaches.
Three approaches to Morse-Bott homology
Isomorphism of coefficient rings of Buchstaber and Krichever formal groups
On the structure of the $RO(G)$-graded homotopy of $H\M$ for cyclic $p$-groups
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