Smooth Invariants of Four-dimensional Manifolds and Quantum Field Theory

Explore a comprehensive lecture on the intersection of smooth invariants in four-dimensional manifolds and quantum field theory. Delve into topics such as nuclear force, Yang-Mills theory, instantons, topological invariants, and supersymmetric Yang-Mills theory. Discover Witten's theory, low-energy effective theory, and Donaldson invariance. Examine future research directions, generalized monopole equations, path integrals, and Class S theories. Gain insights from Gregory W. Moore's AMS Invited Address at the 2020 Joint Mathematics Meetings, offering a deep dive into advanced mathematical concepts and their applications in quantum physics.

Introduction
Outline
Nuclear Force
YangMills Theory
YangMills Action
Instantons
topological invariants
Donaldson and Friedman
Supersymmetric Yang Mills Theory
Wittens Theory
LowEnergy Effective Theory
Question Q
Comments
Cyber acquaintance family
Future research directions
Lots of the ways we can go with this
So what about other N2 quantum field theories
So its a natural question
Generalized monopole equations
path integral
Vava Witten
Class S Theories
Donaldson Invariance
References