Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Say we first have two curves, $C_1$ and $C_2$ which are knotted together. Let $C_2'$ be a continuous deformation of $C_2$ such that $C_2$ does not cross $C_1$ as it is deformed into $C_2'$. How could I prove that the two linking integrals have the same value? What I had in mind so far was to show that $\mathrm{Lk}(C1,C2)-\mathrm{Lk}(C1,C2')=0$, hopefully with the use of Green's/Stokes' Theorem in some way and without any physics.

share|improve this question
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.