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math.AT2026
A combinatorial genesis of the right-angled relations in Artin's classical braid groups
Omar Alvarado-Garduño, Jesús González, Matthew Kahle
The configuration space of unlabelled non-overlapping unit squares in a rectangle is known to recover the homotopy type of the classical co…
math.AT2026
The 15 Puzzle and homological stability in the space direction
Jesús González, Matthew Kahle, Nicholas Wawrykow
The ordered configuration space of open unit squares in the by rectangle exhibits homological stability in the space direction. That is, for fixed and fixed homolog…