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math.SG2025
Regular Lagrangians in Lefschetz fibrations
Joseph Breen, Agniva Roy, Luya Wang
We characterize regularity of Lagrangian submanifolds in Weinstein Lefschetz fibrations, establishing a conjecture of Giroux and Pardon. Our main result is the Weinstein analogue o…
math.SG2025
Legendrian doubles, twist spuns, and clusters
James Hughes, Agniva Roy
Let be a Legendrian link in standard contact , such that , are two exact fillings of and is a Legendrian loop of . We study fillability and…