Non-existence conjecture for universal Lie bialgebroid quantizations

Let a universal quantization of Lie bialgebroids mean a quantization whose formulas are given by expansions in terms of graphs with universal coefficients, and let a quantum groupoid be a topological deformation of the standard bialgebroid structure on the universal enveloping algebra of a Lie algebroid. Non-existence conjecture. There are no universal quantizations of Lie bialgebroids as quantum groupoids. The conjecture is motivated by a potential obstruction to universal quantizations established in the paper and by the analogous obstruction for universal quantizations of infinite-dimensional Poisson manifolds; it concerns universal quantizations and does not contradict the possibility of non-universal quantizations.