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
References
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