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math.AT2022★ 1 cited
Hecke operators in Morava -theories of different heights
Takeshi Torii
There is a natural action of a kind of Hecke algebra on the th Morava -theory of spaces. We construct Hecke operators in an amalgamated cohomology theory of t…
math.CT2022
Duoidal -categories of operadic modules
Takeshi Torii
In this paper we study duoidal structures on -categories of operadic modules. Let be a small coherent -operad and let $\mathcal{P}^{\otimes}…
math.CT2022
A perfect pairing for monoidal adjunctions
Takeshi Torii
We give another proof of the fact that there is a dual equivalence between the -category of monoidal -categories with left adjoint oplax monoidal functors and that…