# Strictly commutative complex orientation theory

@article{Hopkins2016StrictlyCC, title={Strictly commutative complex orientation theory}, author={Michael J. Hopkins and Tyler Lawson}, journal={Mathematische Zeitschrift}, year={2016}, volume={290}, pages={83-101} }

For a multiplicative cohomology theory E, complex orientations are in bijective correspondence with multiplicative natural transformations to E from complex bordism cohomology MU. If E is represented by a spectrum with a highly structured multiplication, we give an iterative process for lifting an orientation $$MU \rightarrow E$$MU→E to a map respecting this extra structure, based on work of Arone–Lesh. The space of strictly commutative orientations is the limit of an inverse tower of spaces… Expand

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