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arXiv 1201.2131math.GT
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闭曲面和character品种

Closed surfaces and character varieties

Eric Chesebro

摘要:

Culler和Shalen的强有力的特征多样性技术可以用来寻找纽结流形中的本质曲面。我们表明,模块结构上的坐标环的字符品种可以用来识别检测到的边界斜率,以及当检测到闭曲面。这种方法也产生了新的数论不变量的纽结流形的字符品种。

英文摘要:

The powerful character variety techniques of Culler and Shalen can be used to find essential surfaces in knot manifolds. We show that module structures on the coordinate ring of the character variety can be used to identify detected boundary slopes as well as when closed surfaces are detected. This approach also yields new number theoretic invariants for the character varieties of knot manifolds.

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