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math.GT2024
The contact cut graph and a Weinstein -invariant
Nickolas Castro, Gabriel Islambouli, Jie Min +3
We define and study the contact cut graph which is an analogue of Hatcher and Thurston's cut graph for contact geometry, inspired by contact Heegaard splittings. We show how orient…
math.GT2024
Relative Group Trisections
Nickolas Andres Castro, Jason Joseph, Patrick K. McFaddin
Trisections of closed 4-manifolds, first defined and studied by Gay and Kirby, have proved to be a useful tool in the systematic analysis of 4-manifolds via handlebodies. Subsequen…