Mathematical Physics: Classical Mechanics
《Mathematical Physics: Classical Mechanics》 · 第 53 页 · Chapter 6，Definition 6.4 及其后 Seifert matrix 的定义
Associated to the Seifert surface \(F\) for an oriented link \(L\) is the Seifert form \(\alpha:H_1(F;\mathbb Z)\times H_1(F;\mathbb Z)\longrightarrow\mathbb Z\) […]. Taking a basis \(\{[f_i]\}\) for \(H_1(F;\mathbb Z)\) with a \(\beta\)-dual basis \(\{[e_i]\}\) for \(H_1(S^3-F;\mathbb Z)\) as before, \(\alpha\) is represented by the Seifert matrix \(A\), where \(A_{ij}=\alpha([f_i],[f_j])=\operatorname{lk}(f_i^-,f_j)=\operatorname{lk}(f_i,f_j^+)\).