On a generalized Jones conjecture

Abstract

We solve the Jones conjecture, which states that the exponent sum in a minimal braid representation of a knot in S^3 is a knot invariant, by proving a generalized version of the original one. We apply contact geometry to study this problem in knot theory.

11 pages, 11 figures

References in corpus (2)

• Stabilization in the braid groups II: Transversal simplicity of knots
• The algebraic crossing number and the braid index of knots and links