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Integrals of ψ-classes over double ramification cycles
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 137, Number 3, June 2015
- pp. 699-737
- 10.1353/ajm.2015.0022
- Article
- Additional Information
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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.