Abstract
In this "experimental" research, we use known topological recursion relations in generazero, -one, and -two to compute the n-point descendant Gromov-Witten invariants of P{double-struck}1 for arbitrary degrees and low values of n. The results are consistent with the Virasoro conjecture and also lead to explicit computations of all Hodge integrals in these genera. We also derive new recursion relations for simple Hurwitz numbers similar to those of Graber and Pandharipande.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1-31 |
| Number of pages | 31 |
| Journal | Advances in Theoretical and Mathematical Physics |
| Volume | 3 |
| Issue number | 6 |
| State | Published - Nov 1999 |
| Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)
- Physics and Astronomy(all)