Descendant Gromov-Witten Invariants, Simple Hurwitz Numbers, and the Virasoro Conjecture for P^1

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dc.creatorSong, Jun S.
dc.date1999-12-09
dc.date.accessioned2026-07-07T04:27:25Z
dc.date.available2026-07-07T04:27:25Z
dc.descriptionIn 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 P^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.
dc.description30 pages, no figures, latex 3x
dc.identifierhttps://arxiv.org/abs/hep-th/9912078
dc.identifierhttp://arxiv.org/abs/hep-th/9912078
dc.identifierAdv.Theor.Math.Phys. 3 (1999) 1721-1768
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56412
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titleDescendant Gromov-Witten Invariants, Simple Hurwitz Numbers, and the Virasoro Conjecture for P^1
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