The May–Milgram filtration and ℰk–cells

Klang, Inbar; Kupers, Alexander; Miller, Jeremy

doi:10.2140/agt.2021.21.105

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

The May–Milgram filtration and $\mathcal{E}_k$–cells

Inbar Klang, Alexander Kupers and Jeremy Miller

Algebraic & Geometric Topology 21 (2021) 105–136

DOI: 10.2140/agt.2021.21.105

Abstract

We describe an $ℰ_{k}$ –cell structure on the free $ℰ_{k + 1}$ –algebra on a point, and more generally describe how the May–Milgram filtration of $Ω^{m} Σ^{m} S^{k}$ lifts to a filtration of the free $ℰ_{k + m}$ –algebra on a point by iterated pushouts of free $ℰ_{k}$ –algebras.

Keywords

little disks operad, cell attachments, delooping, May–Milgram filtration, iterated loop spaces, configuration spaces

Mathematical Subject Classification 2010

Primary: 55P48

Secondary: 18D50, 55R40, 55R80

References

Publication

Received: 9 September 2018

Revised: 23 November 2019

Accepted: 6 May 2020

Published: 25 February 2021

Authors

Inbar Klang
Department of Mathematics Columbia University New York, NY United States

Alexander Kupers
Department of Computer and Mathematical Sciences University of Toronto Scarborough Toronto, ON Canada

Jeremy Miller
Department of Mathematics Purdue University West Lafayette, IN United States

Volume 21, issue 1 (2021)