Homotopy theory of A-infinity ring spectra and applications to MU-modules, by A. Lazarev

We give a definition of a derivation of an A-infinity ring spectrum and relate this notion to topological Hochschild cohomology. Strict multiplicative structure is introduced into Postnikov towers and generalized Adams towers of A-inifinity-ring spectra. An obstruction theory for lifting multiplicative maps is constructed. The developed techniques are then applied to show that a broad class of complex-oriented spectra admit structures of MU-algebras where MU is the complex cobordism spectrum. Various computations of topological derivations and topological Hochschild cohomology are made.

To appear in K-theory.

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