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math.GT2025
The 3-strand braid group with torsion
Ethan Dlugie, Tahsin Saffat
In the 1950s, H. S. M. Coxeter considered the quotients of braid groups given by adding the relation that all half Dehn twist generators have some fixed, finite order. He found a r…
math.GT2022★ 1 cited
The Burau representation and shapes of polyhedra
Ethan Dlugie
We use a geometric approach to show that the reduced Burau representation specialized at roots of unity has another incarnation as the monodromy representation of a moduli space of…