Maxine E. Calle

most citedSquares K-theory and 2-Segal spaces

1 citations · 1 across the 4 of their papers we have counts for

collaborators

Showing math.KTShow all

4 papers · 1 filter

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.KT2026★ 1 cited

Squares K-theory and 2-Segal spaces

Maxine E. Calle, Maru Sarazola

We define an $S_{∙}$ -construction for squares categories, and introduce a class of squares categories we call "proto-Waldhausen" which capture the properties required for the $…

math.KT2026

Segal K-theory factors through Waldhausen categories

Maxine E. Calle, David Chan

We show that Segal's K-theory of symmetric monoidal categorizes can be factored through Waldhausen categories. In particular, given a symmetric monoidal category $C$ , we produce a…

math.KT2024

A combinatorial $K$ -theory perspective on the Edge Reconstruction Conjecture in graph theory

Maxine E. Calle, Julian J. Gould

We provide a framework for abstract reconstruction problems using the $K$ -theory of categories with covering families, which we then apply to reformulate the edge reconstruction co…

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

Squares K-theory and 2-Segal spaces

Segal K-theory factors through Waldhausen categories

A combinatorial K-theory perspective on the Edge Reconstruction Conjecture in graph theory

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

A combinatorial $K$ -theory perspective on the Edge Reconstruction Conjecture in graph theory