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 -theory of a weak assembler to its Hochschild…
math.KT2025
Frobenius and Verschiebung for -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…
math.AT2024
Steenrod operations on polyhedral products
Sanjana Agarwal, Jelena Grbić, Michele Intermont +3
We describe the action of the mod Steenrod algebra on the cohomology of various polyhedral products and related spaces. We carry this out for Davis-Januszkiewicz spaces and the…