B. An

activity

20082026

most citedOn the f-vectors of Gelfand-Cetlin polytopes

26 citations · 115 across the 31 of their papers we have counts for

collaborators

Showing 2026Show all

5 papers · 1 filter

math.AT2026

Torsion of every finite order in the homology of graph braid groups

Byung Hee An

We determine the torsion subgroup of $H_{m - 1} (B_{m} K_{m + 1, m + r - 1}; Z)$ for $m \geq 2$ and $r \geq 0$ : top homology with arbitrary coefficients is the kernel of an unsigned…

math.GR2026

Hierarchical geometry and right-angled Artin groups in graph braid groups

Byung Hee An, Sangrok Oh, Jihoon Park

For the unordered discrete configuration space $UD_{n} (Γ)$ of $n$ particles on a connected finite graph $Γ$ , we construct an explicit factor system on its univ…

math.AT2026

Extending Goldberg's Exact Sequence to Braid Groups of Graphs and Simplicial Complexes

Byung Hee An

For a finite connected simplicial complex $X$ , the strand map $ι_{*}$ , from $P_{n} (X)$ to $\prod_{i = 1}^{n} π_{1} (X, x_{i}^{0})$ , sends a pure braid to the homotopy classes of its str…

math.GT2026

Cubical structures and the large-scale geometry of graph braid groups

Byung Hee An, Sangrok Oh

We study the large-scale geometry of graph braid groups through the cubical structure of their unordered discrete configuration spaces, focusing on quasi-isometry to right-angled A…

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…