The connectivity of multicurves determined by integral weight train tracks
The connectivity of multicurves determined by integral weight train tracks
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由整体重量列车轨道确定的多曲线连通性
DOI：
10.1090/s0002-9947-1992-1028309-1
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发表时间：
1992
影响因子：
1.3
通讯作者：
Perry Susskind
中科院分区：
文献类型：
--
作者：
A. Haas;Perry Susskind
曲面上的积分加权火车轨道决定了嵌入闭1-流形的合痕类。我们感兴趣的是所得到的1-流形的连通性。一般来说，有一个算法来确定连通性，在最简单的情况下，一个2参数的火车轨道上的表面亏格1有一个明确的公式。我们推导出一个公式的封闭1-流形的连通性所确定的一个4参数的火车轨道上的表面enus 2这是可计算的多项式时间。我们还给出了所得到的1-流形连通的参数的充分必要条件
An integral weighted train track on a surface determines the isotopy class of an embedded closed 1-manifold. We are interested in the connectivity of the resulting 1-manifold. In general there is an algorithm for determining connectivity, and in the simplest case of a 2-parameter train track on a surface of genus one there is an explicit formula. We derive a formula for the connectivity of the closed 1-manifold determined by a 4-parameter train track on a surface of enus two which is computable in polynomial time. We also give necessary and sufficient conditions on the parameters for the resulting 1-manifold to be connected