Logarithmic series and Hodge integrals in the tautological ring (with an appendix by D. Zagier)

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dc.creatorFaber, C.
dc.creatorPandharipande, R.
dc.date2000-02-14
dc.date2000-03-09
dc.date.accessioned2026-07-07T04:33:52Z
dc.date.available2026-07-07T04:33:52Z
dc.descriptionWe describe a new perspective on the intersection theory of the moduli space of curves involving both Virasoro constraints and Gorenstein conditions. The main result of the paper is the computation of a basic 1-point Hodge integral series occurring in the tautological ring of the moduli space of nonsingular curves. In the appendix by D. Zagier, "Polynomials arising from the tautological ring", a detailed study is made of certain polynomials whose coefficients are intersection numbers on moduli space. The paper and the appendix together provide proofs of all previously conjectured formulas for 1-point integrals in the tautological ring, and of natural extensions of these formulas as well.
dc.descriptionMinor changes. 26 pages, LaTeX2e. Appendix by D. Zagier: 12 pages, AmSTeX 2.1
dc.identifierhttps://arxiv.org/abs/math/0002112
dc.identifierhttp://arxiv.org/abs/math/0002112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58686
dc.subjectAlgebraic Geometry
dc.titleLogarithmic series and Hodge integrals in the tautological ring (with an appendix by D. Zagier)
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