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- W2218391331 abstract "We introduce and study the homotopy theory of motivic spaces and spectra parametrized by quotient stacks [X/G], where G is a linearly reductive linear algebraic group. We extend to this equivariant setting the main foundational results of motivic homotopy theory: the (unstable) purity and gluing theorems of Morel–Voevodsky and the (stable) ambidexterity theorem of Ayoub. Our proof of the latter is different than Ayoub's and is of interest even when G is trivial. Using these results, we construct a formalism of six operations for equivariant motivic spectra, and we deduce that any cohomology theory for G-schemes that is represented by an absolute motivic spectrum satisfies descent for the cdh topology." @default.
- W2218391331 created "2016-06-24" @default.
- W2218391331 creator A5068014837 @default.
- W2218391331 date "2017-01-01" @default.
- W2218391331 modified "2023-09-30" @default.
- W2218391331 title "The six operations in equivariant motivic homotopy theory" @default.
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- W2218391331 doi "https://doi.org/10.1016/j.aim.2016.09.031" @default.
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