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math.GT2022
Bridge trisections and Seifert solids
Jason Joseph, Jeffrey Meier, Maggie Miller +1
We adapt Seifert's algorithm for classical knots and links to the setting of tri-plane diagrams for bridge trisected surfaces in the 4-sphere. Our approach allows for the construct…
math.GT2022
Toric multisections and curves in rational surfaces
Gabriel Islambouli, Homayun Karimi, Peter Lambert-Cole +1
We study multisections of embedded surfaces in 4-manifolds admitting effective torus actions. We show that a simply-connected 4-manifold admits a genus one multisection if and only…