Braided injections and double loop spaces

Schlichtkrull, Christian; Solberg, Mirjam

doi:10.1090/tran/6614

Braided injections and double loop spaces
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by Christian Schlichtkrull and Mirjam Solberg PDF

Trans. Amer. Math. Soc. 368 (2016), 7305-7338 Request permission

Abstract:

We consider a framework for representing double loop spaces (and more generally $E_2$ spaces) as commutative monoids. There are analogous commutative rectifications of braided monoidal structures and we use this framework to define iterated double deloopings. We also consider commutative rectifications of $E_{\infty }$ spaces and symmetric monoidal categories and we relate this to the category of symmetric spectra.

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