Intertwining for semidirect product operads

Ward, Benjamin

doi:10.2140/agt.2019.19.1903

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Intertwining for semidirect product operads

Benjamin C Ward

Algebraic & Geometric Topology 19 (2019) 1903–1934

DOI: 10.2140/agt.2019.19.1903

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

Volume 19, issue 4 (2019)