David Chan

collaborators

4 papers

math.KT2026

A genuine $G$ -spectrum for the cut-and-paste $K$ -theory of $G$ -manifolds

Maxine Calle, David Chan

Recent work has applied scissors congruence $K$ -theory to study classical cut-and-paste ( $S K$ ) invariants of manifolds. This paper proves the conjecture that the squares $K$ -theory…

math.AT2026

Equivariant Trees and Partition Complexes

Julia E. Bergner, Peter Bonventre, Maxine E. Calle +2

We introduce two definitions of $G$ -equivariant partitions of a finite $G$ -set, both of which yield $G$ -equivariant partition complexes. By considering suitable notions of equivari…

math.AT2026

A linearization map for genuine equivariant algebraic $K$ -theory

Maxine Calle, David Chan, Andres Mejia

We introduce a version of algebraic $K$ -theory for coefficient systems of rings which is valued in genuine $G$ -spectra for a finite group $G$ . We use this construction to build a g…

math.AT2025

Equivariant algebraic $K$ -theory of symmetric monoidal Mackey functors

We provide a unifying approach to different constructions of the algebraic $K$ -theory of equivariant symmetric monoidal categories. A consequence of our work is that every connecti…

A genuine G-spectrum for the cut-and-paste K-theory of G-manifolds

Equivariant Trees and Partition Complexes

A linearization map for genuine equivariant algebraic K-theory

Equivariant algebraic K-theory of symmetric monoidal Mackey functors

A genuine $G$ -spectrum for the cut-and-paste $K$ -theory of $G$ -manifolds

A linearization map for genuine equivariant algebraic $K$ -theory

Equivariant algebraic $K$ -theory of symmetric monoidal Mackey functors