Topological Recursion Relations in SFT

As in Gromov-Witten theory, the moduli space of curves relavant for Symplectic Field Theory contains natural cycles. These sub-moduli spaces can be used to enrich the theory with extra enumerative invariants called gravitational descendants. In a joint work with O. Fabert, we investigated the general algebraic relations among primary and descendant invariants giving rise to a rich structure (inspired by the closed analogue) which can be used in computations and in order to understand the general nature of the infinite dimensional hamiltonian systems arising in SFT.