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math.GT2024
Fibered ribbon pretzels
Ana G. Lecuona, Andy Wand
We classify fibered ribbon pretzel knots up to mutation. The classification is complete, except perhaps for members of Lecuona's ``exceptional'' family of [Lec15]. The result is ob…
math.GT2024
Stein-fillability and positivity in the mapping class group
Vitalijs Brejevs, Andy Wand
We construct an infinite family of non-positive open books with once-punctured torus pages that support Stein-fillable contact structures. Combined with a result of Wendl, this all…