3 papers
math.GT2026
Euler characteristics of -orbit graphs of origamis
Luke Jeffreys, Carlos Matheus
The -orbits of primitive -squared origamis can be represented by finite four-regular graphs. It is a conjecture of McMullen that the orbit graphs of such origa…
math.GT2026
Meanders, hyperelliptic pillowcase covers, and the Johnson filtration
Luke Jeffreys
We provide minimal constructions of meanders with particular combinatorics. Using these meanders, we give minimal constructions of hyperelliptic pillowcase covers with a single hor…
math.GT2026
On the monodromy and spin parity of single-cylinder origamis in the minimal stratum
Tarik Aougab, Adam Friedman-Brown, Luke Jeffreys +1
In a paper with Menasco-Nieland, the first author constructed factorially many origamis in the minimal stratum of the moduli space of translation surfaces having simultaneously a s…