Arpon Raksit

collaborators

4 papers

math.AT2026

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…

math.AG2026

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…

math.KT2025

A motivic filtration on the topological cyclic homology of commutative ring spectra

Jeremy Hahn, Arpon Raksit, Dylan Wilson

For a prime number $p$ and a $p$ -quasisyntomic commutative ring $R$ , Bhatt--Morrow--Scholze defined motivic filtrations on the $p$ -completions of $\mathrm{THH}(R), \mathrm{TC}^{-}(…

math.AT2025

THH(Z) and the image of J

Sanath K. Devalapurkar, Arpon Raksit

Let $p$ be an odd prime number and $j_{p}$ the $p$ -complete connective image of J spectrum. We establish an equivalence of cyclotomic $E_{\infty}$ -rings $\mathrm{THH}…