B. An

collaborators

5 papers

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.AT2026

Corrigendum to "Asymptotic homology of graph braid groups"

Byung Hee An, Gabriel C. Drummond-Cole, Ben Knudsen

We correct an error in the paper referred to in the title. Part of the argument is organized as a general method for establishing when (derived) functors factor through a fixed Ser…

math.AT2025

On coshuffle comultiplication on configuration spaces

Byung Hee An

We introduce a coshuffle comultiplication on the singular chain complex of configuration spaces, and we show that this structure endows the configuration space with the structure o…

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…

math.GR2025

Quasi-isometry classification of certain graph $2$ -braid groups and its applications