论文标题
弗雷霍尔姆拓扑和列举几何：反思迈克尔·阿蒂亚的某些话
Fredholm topology and enumerative geometry: reflections on some words of Michael Atiyah
论文作者
论文摘要
本文的第一部分是对1980年代的差异和代数几何发展中的发展的简短而选择性的调查，其中涉及枚举问题和非线性椭圆形偏微分方程。在第二部分中，我们讨论了这些想法的可能扩展到4个manifolds的结构，尤其是对一般类型表面的复杂结构
The first part of this article is a short and selective survey of developments in differential and algebraic geometry from the 1980's involving enumerative questions and nonlinear elliptic partial differential equations. In the second part we discuss possible extensions of these ideas to structures on 4-manifolds, in particular to complex structures on surfaces of general type
