Gromov-Witten theory, Hurwitz numbers, and Matrix models, I

dc.creatorOkounkov, Andrei
dc.creatorPandharipande, Rahul
dc.date2001-01-17
dc.date2001-03-22
dc.date.accessioned2026-07-07T04:39:42Z
dc.date.available2026-07-07T04:39:42Z
dc.descriptionThe main goal of the paper is to present a new approach via Hurwitz numbers to Kontsevich's combinatorial/matrix model for the intersection theory of the moduli space of curves. A secondary goal is to present an exposition of the circle of ideas involved: Hurwitz numbers, Gromov-Witten theory of the projective line, matrix integrals, and the theory of random trees. Further topics will be treated in a sequel.
dc.descriptionLatex, 107 pages, 9 figures, updated version
dc.identifierhttps://arxiv.org/abs/math/0101147
dc.identifierhttp://arxiv.org/abs/math/0101147
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60775
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectCombinatorics
dc.titleGromov-Witten theory, Hurwitz numbers, and Matrix models, I
dc.typetext

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