Integrals of ψ-classes over double ramification cycles
| Authors |
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| Publication date | 2015 |
| Journal | American Journal of Mathematics |
| Volume | Issue number | 137 | 3 |
| Pages (from-to) | 699-737 |
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| 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. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1353/ajm.2015.0022 |
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