| On the moduli space of projective smooth n-marked genus g curves, the double ramification cycle is the codimension g cycle corresponding to curves admitting a principal divisor of a given form. The Eliashberg problem is about finding a geometrical meaningful extension of the double ramification cycle to the moduli space of stable curves, together with an explicit expression of it in terms of tautological cycles. After going through known results and approaches to the Eliashberg problem, we will show how to use the compactified universal Jacobian in the sense of Margarida Melo to build up a strategy extending known results up so far. |