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2018 On some adjunctions in equivariant stable homotopy theory
Po Hu, Igor Kriz, Petr Somberg
Algebr. Geom. Topol. 18(4): 2419-2442 (2018). DOI: 10.2140/agt.2018.18.2419

Abstract

We investigate certain adjunctions in derived categories of equivariant spectra, including a right adjoint to fixed points, a right adjoint to pullback by an isometry of universes, and a chain of two right adjoints to geometric fixed points. This leads to a variety of interesting other adjunctions, including a chain of six (sometimes seven) adjoints involving the restriction functor to a subgroup of a finite group on equivariant spectra indexed over the trivial universe.

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Po Hu. Igor Kriz. Petr Somberg. "On some adjunctions in equivariant stable homotopy theory." Algebr. Geom. Topol. 18 (4) 2419 - 2442, 2018. https://doi.org/10.2140/agt.2018.18.2419

Information

Received: 9 July 2017; Revised: 18 January 2018; Accepted: 24 February 2018; Published: 2018
First available in Project Euclid: 3 May 2018

zbMATH: 06867662
MathSciNet: MR3797071
Digital Object Identifier: 10.2140/agt.2018.18.2419

Subjects:
Primary: 55N91, 55P91, 55P92
Secondary: 18A40

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.18 • No. 4 • 2018
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