23 citations · 26 across the 4 of their papers we have counts for
5 papers
Notes on Tate cohomology
Arpon Raksit
We formulate a definition of Tate cohomology in the context of three functor formalisms, and we establish basic monoidality and functoriality properties of it in this context. Our…
THH(Z) and the image of J
Sanath K. Devalapurkar, Arpon Raksit
Let be an odd prime number and the -complete connective image of J spectrum. We establish an equivalence of cyclotomic -rings $\mathrm{THH}…
A motivic filtration on the topological cyclic homology of commutative ring spectra
Jeremy Hahn, Arpon Raksit, Dylan Wilson
For a prime number and a -quasisyntomic commutative ring , Bhatt--Morrow--Scholze defined motivic filtrations on the -completions of $\mathrm{THH}(R), \mathrm{TC}^{-}(…
Hochschild homology and the derived de Rham complex revisited
Arpon Raksit
We characterize two objects by universal property: the derived de Rham complex and Hochschild homology together with its Hochschild-Kostant-Rosenberg (HKR) filtration. This involve…
Motivic Gauß-Bonnet formulas
Marc Levine, Arpon Raksit
The apparatus of motivic stable homotopy theory provides a notion of Euler characteristic for smooth projective varieties, valued in the Grothendieck-Witt ring of the base field. P…