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Formal schemes and formal groups. (English) Zbl 1101.14322
Meyer, Jean-Pierre (ed.) et al., Homotopy invariant algebraic structures. A conference in honor of J. Michael Boardman. AMS special session on homotopy theory, Baltimore, MD, USA, January 7–10, 1998. Providence, RI: American Mathematical Society (ISBN 0-8218-1057-X/pbk). Contemp. Math. 239, 263-352 (1999).
Summary: We set up a framework for using algebraic geometry to study the generalised cohomology rings that occur in algebraic topology. This idea was probably first introduced by Quillen and it underlies much of our understanding of complex oriented cohomology theories, exemplified by the work of Morava. Most of the results have close and well-known analogues in the algebro-geometric literature, but with different definitions or technical assumptions that are often inconvenient for topological applications. We merely put everything together in a systematic and convenient way.
For the entire collection see [Zbl 0924.00035].

MSC:
14L05 Formal groups, \(p\)-divisible groups
55N22 Bordism and cobordism theories and formal group laws in algebraic topology
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