论文标题
3型三角剖分的符合性基础
A symplectic basis for 3-manifold triangulations
论文作者
论文摘要
在1980年代，诺伊曼（Neumann）和扎吉尔（Zagier）引入了与cused 3个manifold的理想三角剖分有关的符号矢量空间，例如结的补体。我们通过三体曲线在Heegaard表面上的某些曲线相交，对这种符号结构进行了几何解释。我们还提供了一种算法来构建形成符号基础的曲线。
In the 1980s, Neumann and Zagier introduced a symplectic vector space associated to an ideal triangulation of a cusped 3-manifold, such as a knot complement. We give a geometric interpretation for this symplectic structure in terms of the topology of the 3-manifold, via intersections of certain curves on a Heegaard surface. We also give an algorithm to construct curves forming a symplectic basis.
