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math.GT2025
Quasipositive fiber surfaces are not well-quasi-ordered
Joseph Breen, Michele Capovilla-Searle
By exhibiting an explicit infinite anti-chain, we show that the class of quasipositive fiber surfaces in is not well-quasi-ordered under the surface minor relation. This answ…
math.CO2025
Non-orientable Nurikabe
Joseph Breen, Emma Copeland
We study Nurikabe puzzles on non-orientable surfaces. Specifically, we propose two versions of non-orientable Nurikabe and investigate their combinatorics on Möbius strips, Klein b…