Sanjana Agarwal

collaborators

3 papers

math.AT2026

The Dennis Trace for Assembler K-Theory

Sanjana Agarwal, Ramyak Bilas

We define a notion of Hochschild homology of a weak assembler and use it to construct a Dennis trace map from the group completion $K$ -theory of a weak assembler to its Hochschild…

math.AT2025

$T H H$ of the Morava $E$ -theory Spectrum $E_{2}$

Sanjana Agarwal

The Morava $E$ -theories, $E_{n}$ , are complex-oriented $2$ -periodic ring spectra, with homotopy groups $W_{F_{p^{n}}} [[u_{1}, u_{2}, ..., u_{n - 1}]] [u, u^{- 1}]$ . H…

math.KT2025

Frobenius and Verschiebung for $K$ -theory of endomorphisms

Sanjana Agarwal, Jonathan Campbell, Diego Manco +2

We show that the Frobenius and Verschiebung maps that are fundamental to Witt vectors lift to the reduced K-theory of endomorphisms. In particular, we define Frobenius and Verschie…

The Dennis Trace for Assembler K-Theory

THH of the Morava E-theory Spectrum E2​

Frobenius and Verschiebung for K-theory of endomorphisms

$T H H$ of the Morava $E$ -theory Spectrum $E_{2}$

Frobenius and Verschiebung for $K$ -theory of endomorphisms