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math.GT2023
On slice pretzel links
Sophia Fanelle, Evan Huang, Ben Huenemann +3
A link is called slice if it bounds a smooth properly embedded surface in the 4-ball with no closed components and Euler characteristic 1. If a link has a single component, the…
math.GT2023
On chain link surgeries bounding rational homology balls and -slice 3-braid closures
Vitalijs Brejevs, Jonathan Simone
We determine which integral surgeries on a large class of circular chain links bound rational homology balls. Our key tool is the lattice-theoretic cubiquity obstruction recently d…
math.GT2022★ 1 cited
Geography of symplectic Lefschetz fibrations and rational blowdowns
R. Inanc Baykur, Mustafa Korkmaz, Jonathan Simone
We produce simply connected, minimal, symplectic Lefschetz fibrations realizing all the lattice points in the symplectic geography plane below the Noether line. This provides a sym…