A surgical view of Alexander’s polynomial
A surgical view of Alexander’s polynomial
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亚历山大多项式的外科手术视图
作者：
D. Rolfsen
我想描述S3中的外科手术如何澄清结的亚历山大多项式6 (t)的含义和某些性质。例如，从这个观点出发，6 (t)的对称性可以归结为一个熟悉的事实，即三维空间中两条定向曲线A， B的连接数满足lk (A， B)= lk （B， A）。现在6 (t)实际上是对同调H的一个简略描述
I would like to describe how surgery in S3 can clarify the meaning and certain properties of the Alexander polynomial 6 (t) of a knot. For example, the symmetry of 6 (t) boils down from this viewpoint to the familiar fact that the linking number of two oriented curves A, B in 3-space satisfies lk (A, B)= lk (B, A). Now 6 (t) is really a shorthand description of the homology H