I also mapped out at least 6 plus massive open problems that are still left. I’m exploring this strictly for the joy of the geometry. Maybe someone can get use of this ;) Tear it apart and let me know where it breaks!
Diving into 4D Yang-Mills and instanton moduli spaces just to see how far curiosity (and some AI tools) can take an outsider! I just put out v4 of my preprint, and I need real math/physics folks to take a look and tell me I'm crazy haha. 🧵👇 https://t.co/s5CQrExvtD
The math details: I shifted away from spacetime surgery to a Lerman symplectic cut on the instanton moduli space. I managed to complete a closed-form $k=1$ computation showing that a hard cutoff actually deforms the Seiberg-Witten prepotential.
It is working. Now I am going to the next step. (A Region-based Gauss-Newton Approach to Real-Time Monocular Multiple Object Tracking, Tjaden at al., TPAMI '18)
https://t.co/3zy5rpfsSJ