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arXiv · 1102.0020

Homology operations and cosimplicial iterated loop spaces

Philip Hackney
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Abstract

If X is a cosimplical $E_{n+1}$ space then Tot(X) is an $E_{n+1}$ space and its mod 2 homology $H_*(Tot(X))$ has Dyer-Lashof and Browder operations. It's natural to ask if the spectral sequence converging to $H_*(Tot(X))$ admits compatible operations. In this paper I give a positive answer to this question.

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Philip Hackney. 2014-01-28. Homology operations and cosimplicial iterated loop spaces. https://doi.org/10.4310/hha.2014.v16.n1.a1

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