Description
Abstract: In a recent joint paper with G. Borot and S. Ragni we extend the Givental-Teleman theorem on reconstruction a cohomological field theories from the underlying Frobenius manifold to the context of F-cohomological field theories on the moduli space of curves of compact type and flat F-manifolds. In the same way as Pixton, Pandharipande and Zvonkine use Givental-Teleman theory on the r-spin (for r=3, in particular) Witten CohFT to produce all known relations in the tautological reign of the moduli space of stable curves, we apply our generalization to the extended r-spin F-CohFT, introduced by Buryak and myself) to produce relations in the kappa ring of the moduli spaces of curves of compact type.