Integrals of ψ-classes over double ramification cycles

Source abstract

A double ramification cycle, or DR-cycle, is a codimension $g$ cycle in the moduli space $\overline{\mathcal M}_{g,n}$ of stable curves. Roughly speaking, given a list of integers $(a_1,\ldots,a_n)$, the DR-cycle ${\rm DR}_g(a_1,\ldots,a_n) \subset\overline{\mathcal M}_{g,n}$ is the locus of curves $(C,x_1,\ldots,x_n)$ such that the divisor $\sum a_ix_i$ is principal. We compute the intersection numbers of DR-cycles with all monomials in $\psi$-classes.