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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
A note on a nontrivial connected component of the space of symplectic structures
Luya Wang
This note provides the first example of a nontrivial connected component of the space of symplectic structures standard at infinity in dimension four.
math.SG2025
Properties of contact toric structures and concave boundaries of linear plumbings
Aleksandra MarinkoviÄ, Jo Nelson, Ana Rechtman +3
We consider plumbings of symplectic disk bundles over spheres admitting concave contact boundary, with the goal of understanding the geometric properties of the boundary contact st…