Abstract: Hypertwined analysis is a refinement of general hypercomplex theories of differential operators. In the assumption that the configuration space has a hypertwined structure, I will discuss several (re)interpretations of notions and results in Topological Quantum Field Theory (TQFT), such as supersymmetry, path–integral quantization, cancellation of anomalies, et al. Particular TQFTs of interest in this study are supersymmetric (SUSY) Yang–Mills theories on four–manifolds, which are deeply related with Donaldson and Seiberg–Witten invariants.

Watch Dr. Vajiac’s talk here: https://youtu.be/xo8kNEMZfww