Andrew Stacey

Andrew Stacey
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By: Andrew Stacey
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Andrew Stacey

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Mon, 7th Jul 2008 (Research :: Papers)

Stable and Unstable Operations in mod p Cohomology Theories (PDF, PS)

Joint with Sarah Whitehouse

We consider operations between two multiplicative, complex orientable cohomology theories. Under suitable hypotheses, we construct a map from unstable to stable operations, left-inverse to the usual map from stable to unstable operations. In the main example, where the target theory is one of the Morava K-theories, this provides a simple and explicit description of a splitting arising from the Bousfield-Kuhn functor.

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Mon, 7th Jul 2008