A short proof of the lambda_g-conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves

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dc.creatorGoulden, Ian P.
dc.creatorJackson, David M.
dc.creatorVakil, Ravi
dc.date2006-04-12
dc.date.accessioned2026-07-07T07:10:52Z
dc.date.available2026-07-07T07:10:52Z
dc.descriptionWe give a short and direct proof of the $λ_g$-Conjecture. The approach is through the Ekedahl-Lando-Shapiro-Vainshtein theorem, which establishes the ``polynomiality'' of Hurwitz numbers, from which we pick off the lowest degree terms. The proof is independent of Gromov-Witten theory. We briefly describe the philosophy behind our general approach to intersection numbers and how it may be extended to other intersection number conjectures.
dc.identifierhttps://arxiv.org/abs/math/0604297
dc.identifierhttp://arxiv.org/abs/math/0604297
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111557
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subjectPrimary 14H10, Secondary 05E99
dc.titleA short proof of the lambda_g-conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves
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