Authors - Sukuse Abe Abstract - According to Einstein’s theory of relativity, the space we inhabit is distorted. Grigori Perelman solved the geometrization conjecture, which states that this space can be classified into eight spaces. Of these eight types, the classification of hyperbolic manifolds remains unresolved. Solving the volume conjecture would greatly advance the classification of hyperbolic manifolds. While the volume conjecture is one of the open problems in knot theory for knots in general, we successfully prove it for the family of oriented twist knots. The proof use the method of steepest descent and the theory of functions of several complex variables on the basis of colored Jones polynomials.
Open Zoom