Geodesic
On some adjunctions in equivariant stable homotopy theory
Hu, Po1 ; Kriz, Igor2 ; Somberg, Petr3
1 Department of Mathematics, Wayne State University, Detroit, MI, United States
2 Department of Mathematics, University of Michigan, Ann Arbor, MI, United States
3 Mathematical Institute of MFF UK, Praha 8, Czech Republic
Algebraic and Geometric Topology, Tome 18 (2018) no. 4, pp. 2419-2442

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2018.18.2419
Classification : 55P91, 55P92, 55N91, 18A40
Keywords: equivariant cohomology, adjoint functor

Hu, Po 1 ; Kriz, Igor 2 ; Somberg, Petr 3

1 Department of Mathematics, Wayne State University, Detroit, MI, United States
2 Department of Mathematics, University of Michigan, Ann Arbor, MI, United States
3 Mathematical Institute of MFF UK, Praha 8, Czech Republic 
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Hu, Po; Kriz, Igor; Somberg, Petr. On some adjunctions in equivariant stable homotopy theory. Algebraic and Geometric Topology, Tome 18 (2018) no. 4, pp. 2419-2442. doi: 10.2140/agt.2018.18.2419

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