纽结和链环不变量理论的新观点
A New Point of View in the Theory of Knot and Link Invariants
摘要：
弦理论的最新进展导致了量子群多项式不变量的重新表述，使节点和链接成为新的多项式不变量，其系数可以用拓扑术语来理解。我们详细描述了如何构造新的多项式，我们猜想他们的一般结构。这导致了量子群多项式不变量的代数结构上的新的解释。我们还描述的几何意义的系数在计数几何的黎曼曲面的边界在一定的卡-丘三倍。
英文摘要：
Recent progress in string theory has led to a reformulation of quantum-group polynomial invariants for knots and links into new polynomial invariants whose coefficients can be understood in topological terms. We describe in detail how to construct the new polynomials and we conjecture their general structure. This leads to new conjectures on the algebraic structure of the quantum-group polynomial invariants. We also describe the geometrical meaning of the coefficients in terms of the enumerative geometry of Riemann surfaces with boundaries in a certain Calabi-Yau threefold.
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。
