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math.GT2026
Constructing Lagrangian surfaces in all symplectic toric -manifolds from multi-grid diagrams
Shintaro Fushida-Hardy, Laura Wakelin
We present a new diagrammatic construction of Lagrangian surfaces in all symplectic toric -manifolds from objects called multi-grid diagrams. These are a generalisation of tripl…
math.GT2026
Slope Inequalities for the Geography Problem of Spin Symplectic 4-Manifolds
Shintaro Fushida-Hardy, Robert Harris, B. Doug Park
We construct infinitely many new pairwise nondiffeomorphic smooth structures on infinitely many closed simply connected spin 4-manifolds with positive signature. Our construction b…
math.GT2024★ 1 cited
Pseudo-trisections of four-manifolds with boundary
Shintaro Fushida-Hardy
We introduce the concept of pseudo-trisections of smooth oriented compact 4-manifolds with boundary. The main feature of pseudo-trisections is that they have lower complexity than…