蒙特西诺斯结的Sl(2，)-特征变异

Pub Date : 2021-02-03 DOI:10.1556/012.2022.01519

Haimiao Chen

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引用次数: 4

摘要

对于每个蒙特西诺斯结K，我们提出了一种显式确定不可约SL(2，)-字符变化的有效方法，并证明了它可以分解为χ0(K) - χ1(K) - χ2(K) - χ'(K)，其中χ0(K)由无迹字符组成，χ1(K)由有理结(或最多出现一次的有理链)表示的“并”字符组成，χ2(K)是一条代数曲线，当K满足一般条件时，χ'(K)由有限多个点组成。

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The Sl(2, )-Character Variety of a Montesinos Knot

For each Montesinos knot K, we propose an efficient method to explicitly determine the irreducible SL(2, )-character variety, and show that it can be decomposed as χ0(K)⊔χ1(K)⊔χ2(K)⊔χ'(K), where χ0(K) consists of trace-free characters χ1(K) consists of characters of “unions” of representations of rational knots (or rational link, which appears at most once), χ2(K) is an algebraic curve, and χ'(K) consists of finitely many points when K satisfies a generic condition.

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