Mathematical Sciences: Low-Dimensional Manifolds and Knot Theory

Gordon教授将继续研究低维流形的拓扑问题，特别是与结理论有关的问题。一个特别的主题将受到关注的是Dehn手术的结和链接，这是一个有关三维流形结构的许多基本问题的结构。三维流形是与我们生活的空间具有相同维度的非常自然的几何物体，它的结构在数学研究中仍然是一个重要而令人惊讶的神秘主题。

Professor Gordon will continue to investigate problems in the topology of low-dimensional manifolds, especially those related to knot theory. A particular topic that will receive attention is Dehn surgery on knots and links, a construction that is relevant to many fundamental questions concerning the structure of 3-dimensional manifolds. The structure of three-dimensional manifolds, very natural geometric objects of the same dimension as the space in which we live, remains an important and surprisingly mysterious subject for mathematical investigation.