We give precise formulae for the coeecients of Drin-feld's KZ associator in terms of iterated integrals over the unit interval. These formulae are used to calculate Kontsevich's universal knot invariant for (2; p)-torus knots up to the 4-th order. There are already several combinatorial descriptions of Kontsevich's universal knot invariant Ko] in terms of Drinfeld's work on quasi-triangular qua...

The trigonometric KZ equations associated with a Lie algebra g depend on a parameter λ ∈ h where h ⊂ g is the Cartan subalgebra. We suggest a system of dynamical difference equations with respect to λ compatible with the KZ equations. The dynamical equations are constructed in terms of intertwining operators of g -modules.

We investigate the tunneling of quasiparticles arising in multi-Weyl semimetals through a barrier consisting both electrostatic and vector potentials, existing uniformly finite region along transmission axis. The dispersion semimetal is linear one direction (say, kz), proportional to k?J plane perpendicular it (where k?=kx2+ky2). Hence, we study cases when kz kx, respectively. For comparison, a...

[1] Dispersion of the tracer sulphur hexafluoride (SF6) during the Southern Ocean Iron Enrichment Experiment (SOIREE) provided an estimate of vertical exchange at the base of the surface mixed layer (60 m) at 61 S 140 E. Budget analysis confirmed that the SF6 patch was well constrained by surface mapping, with the decline in total SF6 showing good agreement with that predicted from wind speed p...