Fixed-point homotopy-orbit Landweber exactness conjecture
Fixed-point homotopy-orbit Landweber exactness conjecture
Let be a compact abelian Lie group, let be a subgroup of , let be a Landweber exact spectrum, and let denote geometric fixed points. For an -space or -spectrum , write for the homotopy orbits under . Fixed-point homotopy-orbit Landweber exactness conjecture. If is a Landweber exact spectrum, then for any subgroup of a compact abelian Lie group , the cohomology theory
is -Landweber exact. Cohomology theories of this form include Strickland's equivariant Lubin–Tate theories. The source does not state a resolution of this conjecture.
Sources & referencesView supporting material
Primary source
Noah Wisdom, “Properties and Examples of A-Landweber Exact Spectra”, arXiv:2401.12227 (2024).
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