Please consider the following links with four components My question is if such two links are isomorphic. The corresponding Jones polynomials are respectively It is observed that the ratio of the Jones polynomials is $q^{9⁄2}$. It is to say the only difference between the two Jones polynomials is a simple monomial. According with such fact […]

Could someone give an laymans explanation of the relation between QFT and knot theory? What are the central ideas in Wittens work on the Jones polynomial?

It is intuitive that one can simply doing a cut-gluing surgery to make a $6^3_2$ to a $3_1$ trefoil knot: e.g. from to All one needs to do it to cut the three intersections at the angle of $\pi/6$, $\pi/6+2\pi/3$, $\pi/6+4\pi/3$ and then gluing three intersections. question: So what is the precise mathematical formulation of […]

Is there a simple formula for a tight approximation of the torus knot length ? (specifically a formula that does not involve integrals or any iterative procedures). The torus knot parameters are $(p, q, R, r)$ where $(p,q)$ are co-primes and $R$ is major axis and $r$ is minor axis of the torus. Note: The […]

Intereting Posts

How do I evaluate this sum(involving the floor function)?
Floating point arithmetic
Prerequisites on Probability Theory
Axiomatizing oriented cobordism
Continuous a.s. process
Convexity of the product of two functions in higher dimensions
Uncorrelating random variables.
Transfinite derivatives
what does $|x-2| < 1$ mean?
simultaneous trigonometric equations
Assume $f$ is a continuous one-to-one function over an interval. Prove that $f$ is strictly monotone
How to prove that, the set of all matrices $M_n{\mathbb R}$ with distinct eigen values is dense in $\mathbb R^n$?
Does there exist unique $u \in V$ satisfying integral equation?
Showing that the product of vector magnitudes is larger than their dot product
Is the coordinate ring of SL2 a UFD?