David Chan

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20242026

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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.KT2024

The Galois-equivariant $K$ -theory of finite fields

David Chan, Chase Vogeli

We compute the $R O (G)$ -graded equivariant algebraic $K$ -groups of a finite field with an action by its Galois group $G$ . Specifically, we show these $K$ -groups split as the sum of…

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

The Galois-equivariant K-theory of finite fields

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

The Galois-equivariant $K$ -theory of finite fields