Explore the intricacies of N=2* SU(2) Supersymmetric Yang-Mills Theory and its connection to four-manifold invariants in this high-energy theory seminar. Delve into topics such as almost complex structures, topological twisting, spin structures, and partition functions. Examine the relation to Vafa-Witten equations, Coulomb branch integrals, and Maxwell partition functions. Investigate mock modular forms, topological couplings, and the determination of effective action. Gain insights from speaker Gregory Moore of Rutgers University as he presents his work in collaboration with Jan Manschot, building upon previous research in the field.