Tensor products of Frobenius manifolds and moduli spaces of higher spin curves

Simple item page
dc.creatorJarvis, Tyler J.
dc.creatorKimura, Takashi
dc.creatorVaintrob, Arkady
dc.date1999-11-04
dc.date.accessioned2026-07-07T05:31:27Z
dc.date.available2026-07-07T05:31:27Z
dc.descriptionWe review progress on the generalized Witten conjecture and some of its major ingredients. This conjecture states that certain intersection numbers on the moduli space of higher spin curves assemble into the logarithm of the tau function of a semiclassical limit of the r-th Gelfand-Dickey (or KdV_r) hierarchy. Additionally, we prove that tensor products of the Frobenius manifolds associated to such hierarchies admit a geometric interpretation in terms of moduli spaces of higher spin structures. We also elaborate upon the analogy to Gromov-Witten invariants of a smooth, projective variety.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/9911029
dc.identifierhttp://arxiv.org/abs/math/9911029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79346
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subjectQuantum Algebra
dc.subject14H10,32G15,81T40
dc.titleTensor products of Frobenius manifolds and moduli spaces of higher spin curves
dc.typetext

Files

Collections

arXiv