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math.GT2026
Hard Legendrian unknots
Joseph Breen, Austin Christian, Angela Wu
We initiate the study of Reidemeister hardness of Legendrian unknot front projections. Using normal rulings, we obstruct several infinite families of hard unknot diagrams from bein…
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…