Arpon Raksit

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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.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}…