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arXiv · 1705.09365

Four approaches to cohomology theories with reality

J. P. C. Greenlees
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Abstract

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. [v2 corrects some typos and adds some thanks and references, v3 corrects a few more typos].

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J. P. C. Greenlees. 2017-05-25. Four approaches to cohomology theories with reality. https://arxiv.org/abs/1705.09365

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