论文标题

瑟斯顿工作对结理论的影响的调查

A survey of the impact of Thurston's work on Knot Theory

论文作者

Sakuma, Makoto

论文摘要

这是对瑟斯顿工作对结理论的影响的调查,重点是三维双曲线结构的两个特征,刚度和灵活性。我们还强调了经典不变的,亚历山大多项式和有限的分支/无分支覆盖物的同源性的作用。

This is a survey of the impact of Thurston's work on knot theory, laying emphasis on the two characteristic features, rigidity and flexibility, of 3-dimensional hyperbolic structures. We also lay emphasis on the role of the classical invariants, the Alexander polynomial and the homology of finite branched/unbranched coverings.

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