2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59819We present an integral formula for the universal R-matrix of quantum affine algebra with 'Drinfeld comultiplication'. We show that the properties of the universal R-matrix follow from the factorization properties of the cycles in proper configuration spaces. For general g we conjecture that such cycles exist and unique. For $U_q(\hat{sl}_2)$ describe precisely the cycles and present a new simple expression for the universal R-matrix as a result of calculation of corresponding integrals.19 pages, LaTeX 2.09 using amssym.def and amssym.texQuantum Algebra17B37, 81R50Integral Presentations for the Universal R-matrixtext