1999/12/09 by Jun S. Song
Physics and Astronomy · Mathematics · #hep-th #math.AG
published as Adv.Theor.Math.Phys. 3 (1999) 1721-1768 · 30 pages, no figures, latex 3x
arxiv created 1999/12/09 · arxiv updated 2009/11/30
In this ``experimental'' research, we use known topological recursion relations in genera-zero, -one, and -two to compute the n-point descendant Gromov-Witten invariants of P1 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.