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math.AT2026

On homological Real trace methods

Myungsin Cho, Teena Gerhardt, Liam Keenan +2

The paper introduces homological Real trace methods to study continuous mod‑2 Bredon homology of Real topological periodic and negative cyclic homology, and applies them to compute…

math.AT2026

Topological symmetric and braid homologies

Gabriel Angelini-Knoll, David Chan, Teena Gerhardt +2

We identify topological symmetric homology as the free -algebra on an -algebra and topological braid homology as the free -algebra on…

math.AT2025

Real topological Hochschild homology via the norm and Real Witt vectors

Gabriel Angelini-Knoll, Teena Gerhardt, Michael A. Hill

We prove that Real topological Hochschild homology can be characterized as the norm from the cyclic group of order to the orthogonal group . From this perspective, we the…

math.AT2025

Trace methods for equivariant algebraic K-theory

David Chan, Teena Gerhardt, Inbar Klang

In the past decades, one of the most fruitful approaches to the study of algebraic -theory has been trace methods, which construct and study trace maps from algebraic -theory…

math.AT2025

Equivariant Witt Complexes and Twisted Topological Hochschild Homology

Anna Marie Bohmann, Teena Gerhardt, Cameron Krulewski +2

The topological Hochschild homology of a ring (or ring spectrum) is an -spectrum, and the fixed points of THH() for subgroups have been widely studied…