标题： 拓扑场论和阿贝尔规范理论的新结果 显示英文标题

标题： New Results in Topological Field Theory and Abelian Gauge Theory

摘要： 这些是1995年6月在的里雅斯特夏季学校授课的讲义。 我回顾了关于任意四维流形上四维Maxwell理论对偶性的一些近期工作，以及一组新的拓扑不变量，即Seiberg-Witten不变量。 给出了许多必要的背景材料，包括拓扑场论速成课程、流形的上同调、拓扑规范理论和四维流形理论的基础知识。 我的主要希望是激发读者的兴趣，使他/她希望阅读原始文献，并可能进入这个领域。 显示英文摘要

摘要： These are the lecture notes of a set of lectures delivered at the 1995 Trieste summer school in June. I review some recent work on duality in four dimensional Maxwell theory on arbitrary four manifolds, as well as a new set of topological invariants known as the Seiberg-Witten invariants. Much of the necessary background material is given, including a crash course in topological field theory, cohomology of manifolds, topological gauge theory and the rudiments of four manifold theory. My main hope is to wet the readers appetite, so that he or she will wish to read the original works and perhaps to enter this field.