Omar Alvarado-Garduno

collaborators

3 papers

math.GT2025

Square-section braid groups and Higman-Neumann-Neumann extensions

Omar Alvarado-Garduño, Jesús González

For positive integers $n$ , $p$ and $q$ with $pq - n > 0$ , let $U C (n, p \times q)$ denote the configuration space of $n$ unlabelled hard unit squares in the rectangle $[0, p] \times [0, q]$ ,…

math.AT2025

A combinatorial genesis of the right-angled relations in Artin's classical braid groups

Omar Alvarado-Garduño, Jesús González, Matthew Kahle

The configuration space $UC (n, p \times q)$ of $n$ unlabelled non-overlapping unit squares in a $p \times q$ rectangle is known to recover the homotopy type of the classical co…

math.AT2024

Abrams' stabilization theorem for no-k-equal configuration spaces on graphs

Omar Alvarado-Garduño, Jesús González

For a graph $G$ , let Conf $(G, n)$ denote the classical configuration space of $n$ labelled points in $G$ . Abrams introduced a cubical complex, denoted here by DConf $(G, n)$ , sitting…