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arXiv · 0910.3566

H-infinity is not E-infinity

Justin Noel
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Abstract

We provide an example of a spectrum over S^0 with an H_\infty structure which does not rigidify to an E_3 structure. It follows that in the category of spectra over S^0 not every H_\infty ring spectrum comes from an underlying E_\infty ring spectrum. After comparing definitions, we obtain this example by applying Σ^\infty_+ to the counterexample to the transfer conjecture constructed by Kraines and Lada.

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Justin Noel. 2014-04-19. H-infinity is not E-infinity. https://arxiv.org/abs/0910.3566

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