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2019 On $\mathrm{BP}\langle 2\rangle$–cooperations
Dominic Leon Culver
Algebr. Geom. Topol. 19(2): 807-862 (2019). DOI: 10.2140/agt.2019.19.807

Abstract

We develop techniques to compute the cooperations algebra for the second truncated Brown–Peterson spectrum BP2. We prove that the cooperations algebra BP2BP2 decomposes as a direct sum of an F2–vector space concentrated in Adams filtration 0 and an F2[v0,v1,v2]–module which is concentrated in even degrees and is v2–torsion-free. We also develop a recursive method which produces a basis for the v2–torsion-free component.

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Dominic Leon Culver. "On $\mathrm{BP}\langle 2\rangle$–cooperations." Algebr. Geom. Topol. 19 (2) 807 - 862, 2019. https://doi.org/10.2140/agt.2019.19.807

Information

Received: 22 September 2017; Revised: 14 August 2018; Accepted: 17 September 2018; Published: 2019
First available in Project Euclid: 19 March 2019

zbMATH: 07075115
MathSciNet: MR3924178
Digital Object Identifier: 10.2140/agt.2019.19.807

Subjects:
Primary: 55S10, 55S99, 55T15

Rights: Copyright © 2019 Mathematical Sciences Publishers

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