B. An

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math.GT2026

On the large-scale geometry of graph braid groups via cubical structures

Byung Hee An, Sangrok Oh

We study the large-scale geometry of graph braid groups $B_{n} (I^)$ , viewed as the fundamental groups of discrete configuration spaces $U D_{n} (I^)$ , which are sp…

math.GT2025

Hilbert polynomials of configuration spaces over graphs of circumference at most 1

Byung Hee An, Jang Soo Kim

The $k$ -configuration space $B_{k} I^$ of a topological space $I^$ is the space of sets of $k$ distinct points in $I^$ . In this paper, we consider the case where $I^$ is a gra…