3 papers
math.DG2025
Gauge theory on : explicit Sp(2)-instantons, HYM connections, and Spin(7)-instantons
Izar Alonso, Jesse Madnick, Emily Autumn Windes
We construct and classify -invariant primitive Hermitian Yang-Mills connections and -instantons with gauge groups and over the Calabi manifold $…
math.DG2024
Transversality for perturbed special Lagrangian submanifolds
Emily Autumn Windes
In this paper, we prove a transversality theorem for the moduli space of perturbed special Lagrangian submanifolds in a 6-dimensional manifold equipped with a generalization of a C…
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…