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math.DG2024
On Sp(n)-Instantons and the Fourier-Mukai Transform of Complex Lagrangians
Jesse Madnick, Emily Autumn Windes
The real Fourier-Mukai (RFM) transform relates calibrated graphs to so-called "deformed instantons" on Hermitian line bundles. We show that under the RFM transform, complex Lagrang…
math.DG2023
A Spinorial Hopf Differential for Associative Submanifolds
Gavin Ball, Jesse Madnick
Given a CMC surface in , its traceless second fundamental form can be viewed as a holomorphic section called the Hopf differential. By analogy, we show that for an associative…