Hopf不变量的内部拓扑结构
Inner topological structure of Hopf invariant
摘要：
利用$ϕ$ -映射拓扑流理论，研究了Hopf不变量的内部拓扑结构.证明了Hopf不变量就是Gauss映射的缠绕数。根据拓扑流的内部结构，给出了霍普夫不变量的精确表达式。它是纽结族的所有自连接数和所有连接数的总和。
英文摘要：
In light of $ϕ$-mapping topological current theory, the inner topological structure of Hopf invariant is investigated. It is revealed that Hopf invariant is just the winding number of Gauss mapping. According to the inner structure of topological current, a precise expression for Hopf invariant is also presented. It is the total sum of all the self-linking and all the linking numbers of the knot family.
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。
