三流形中法曲面的量子容度
The Quantum Content of the Normal Surfaces in a Three-Manifold
摘要：
三维流形的Turaev-Viro不变量的公式依赖于一个复参数t。当t不是单位单位根时，公式变成无穷和。本文分析了当t不位于单位圆上时，在三流形有效三角剖分的条件下，该和的收敛性。和的项可以由位于三流形中的曲面索引。当曲面为法线且亏格最小时，曲面的贡献最大。
英文摘要：
The formula for the Turaev-Viro invariant of a 3-manifold depends on a complex parameter t. When t is not a root of unity, the formula becomes an infinite sum. This paper analyzes convergence of this sum when t does not lie on the unit circle, in the presence of an efficient triangulation of the three-manifold. The terms of the sum can be indexed by surfaces lying in the three-manifold. The contribution of a surface is largest when the surface is normal and when its genus is the lowest.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
