Author

David Chan

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Preprint Sep 2026

Double Steinberg coinvariants for special linear groups

For a field $F$ we study the coinvariants for the $SL_n(F)$-action on the double Steinberg module $St_n(F) \otimes St_n(F)$ and show they have a rich algebraic structure: for $n = 2$ it is the Grothendieck-Witt group of $F$, and for all $n$ they assemble to a graded nonunital $\mathbb{Z}[F^\times]$-algebra, whose ratio...

Tatiana Abdelnaim, David Chan, A. Kupers et al. · 0 citations

Preprint Aug 2026

Computations in Equivariant Topological Hochschild Homology

One of the most effective approaches to computations in algebraic $K$-theory is trace methods, which compare algebraic $K$-theory with topological Hochschild homology and topological cyclic homology. In recent work, two of the authors, together with Gerhardt, construct an equivariant refinement of topological Hochschil...

David Chan, Marc Gotliboym, Inbar Klang et al. · 1 citation