On BP⟨2⟩–cooperations

Culver, Dominic

doi:10.2140/agt.2019.19.807

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

This article is available for purchase or by subscription. See below.

On $\mathrm{BP}\langle 2\rangle$–cooperations

Dominic Leon Culver

Algebraic & Geometric Topology 19 (2019) 807–862

DOI: 10.2140/agt.2019.19.807

Abstract

We develop techniques to compute the cooperations algebra for the second truncated Brown–Peterson spectrum $BP 〈 2 〉$ . We prove that the cooperations algebra $BP {〈 2 〉}_{*} BP 〈 2 〉$ decomposes as a direct sum of an $F_{2}$ –vector space concentrated in Adams filtration $0$ and an $F_{2} [v_{0}, v_{1}, v_{2}]$ –module which is concentrated in even degrees and is $v_{2}$ –torsion-free. We also develop a recursive method which produces a basis for the $v_{2}$ –torsion-free component.

PDF Access Denied

We have not been able to recognize your IP address 3.139.238.76 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords

cooperations, Brown–Peterson spectrum, Adams spectral sequence, Brown–Gitler modules

Mathematical Subject Classification 2010

Primary: 55S10, 55S99, 55T15

References

Publication

Received: 22 September 2017

Revised: 14 August 2018

Accepted: 17 September 2018

Published: 12 March 2019

Authors

Dominic Leon Culver
Department of Mathematics University of Illinois, Urbana-Champaign Urbana, IL United States

Volume 19, issue 2 (2019)