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From the 1 of 7 linked papers with an AI index.

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7 papers

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.KT2026

Coalgebraic -theory

Teena Gerhardt, Maximilien Péroux, W. Hermann B. Soré

We establish comparison maps between the classical algebraic -theory of algebras over a field and its analogue , an algebraic -theory for coalgebras over a field. The co…

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.GT2025

Quantum topological Hochschild homology and annular Khovanov spectra

Rostislav Akhmechet, Teena Gerhardt, Michael Willis

Topological Hochschild homology is a topological analogue of classical Hochschild homology of algebras and bimodules. Beliakova, Putyra, and Wehrli introduced quantum Hochschild ho…

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…