论文标题
关于3个manifolds的希尔伯特互惠法
A Hilbert reciprocity law on 3-manifolds
论文作者
论文摘要
基于我们的同源阶级领域理论，我们以算术拓扑精神来制定希尔伯特互惠法的类似于理性的同源性3-phere。我们将每个结的统一正常捆绑包上的交叉形式视为在每个素数理想下的希尔伯特符号的类似物，以制定希尔伯特互惠定律，从而确保链接的循环覆盖物是kummer扩展的类似物。
Based on our homological idelic class field theory, we formulate an analogue of the Hilbert reciprocity law on a rational homology 3-sphere endowed with an infinite link, in the spirit of arithmetic topology; We regard the intersection form on the unitary normal bundle of each knot as an analogue of the Hilbert symbol at each prime ideal to formulate the Hilbert reciprocity law, ensuring that cyclic covers of links are analogues of Kummer extensions.
