Volume 19, issue 4 (2019)

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Intertwining for semidirect product operads

Benjamin C Ward

Algebraic & Geometric Topology 19 (2019) 1903–1934
Abstract

We show that the semidirect product construction for $G$–operads and the levelwise Borel construction for $G$–cooperads are intertwined by the topological operadic bar construction. En route we give a generalization of the bar construction of M Ching from reduced to certain nonreduced topological operads.

Keywords
operads, Koszul duality, bar construction, little disks
Mathematical Subject Classification 2010
Primary: 18D50, 55U30, 57T30
Publication
Received: 5 February 2018
Revised: 25 October 2018
Accepted: 14 November 2018
Published: 16 August 2019
Authors
 Benjamin C Ward Stockholm University Stockholm Sweden