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arXiv · 1802.08998

On some adjunctions in equivariant stable homotopy theory

Po Hu·Igor Kriz·Petr Somberg
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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 6 (sometimes 7) 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. 2018-02-25. On some adjunctions in equivariant stable homotopy theory. https://doi.org/10.2140/agt.2018.18.2419

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