5 papers
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…
Spin(7)-instantons on Joyce's first examples of compact Spin(7)-manifolds
Mateo Galdeano, Daniel Platt, Yuuji Tanaka +1
We construct -instantons on one of Joyce's compact -manifolds. The underlying compact -manifold given by Joyce is the same as in Lewis' construction of $…
Spinal open books and symplectic fillings with exotic fibers
Hyunki Min, Agniva Roy, Luya Wang
Spinal open book decompositions provide a natural generalization of open book decompositions. We show that any minimal symplectic filling of a contact 3-manifold supported by a pla…
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.
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…