Conway多项式和Magnus展开
Conway polynomial and Magnus expansion
摘要：
Magnus展开式是纯辫子的一个普适的有限型不变量，其值在水平弦图空间中。由辫子到结点的短路映射构成的Conway多项式，通过Magnus映射得到一系列纯辫子的有限型不变量，从而得到一系列的因子。我们明确地描述所产生的映射从水平弦图3股一元多项式，并评估它的Drinfeld关联器获得，从理论上讲，一个美丽的生成函数，其系数是整数组合的多个zeta值。
英文摘要：
The Magnus expansion is a universal finite type invariant of pure braids with values in the space of horizontal chord diagrams. The Conway polynomial composed with the short circuit map from braids to knots gives rise to a series of finite type invariants of pure braids and thus factors through the Magnus map. We describe explicitly the resulting mapping from horizontal chord diagrams on 3 strands to univariate polynomials and evaluate it on the Drinfeld associator obtaining, conjecturally, a beautiful generating function whose coefficients are integer combinations of multiple zeta values.
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