Topological recursion relations and Gromov-Witten invariants in higher genus

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dc.creatorGathmann, Andreas
dc.date2003-05-26
dc.date.accessioned2026-07-07T04:58:17Z
dc.date.available2026-07-07T04:58:17Z
dc.descriptionWe state and prove a topological recursion relation that expresses any genus-g Gromov-Witten invariant of a projective manifold with at least a (3g-1)-st power of a cotangent line class in terms of invariants with fewer cotangent line classes. For projective spaces, we prove that these relations together with the Virasoro conditions are sufficient to calculate the full Gromov-Witten potential. This gives the first computationally feasible way to determine the higher genus Gromov-Witten invariants of projective spaces.
dc.description20 pages, computer program available on request
dc.identifierhttps://arxiv.org/abs/math/0305361
dc.identifierhttp://arxiv.org/abs/math/0305361
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67574
dc.subjectAlgebraic Geometry
dc.titleTopological recursion relations and Gromov-Witten invariants in higher genus
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