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Equivalence of the Open KdV and the Open Virasoro Equations for the Moduli Space of Riemann Surfaces with Boundary

Buryak, Alexandr

In: Letters in Mathematical Physics, 2015, vol. 105, no. 10, p. 1427-1448

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    Titre
    • Equivalence of the Open KdV and the Open Virasoro Equations for the Moduli Space of Riemann Surfaces with Boundary
    Auteur
    • Buryak, Alexandr. Department of Mathematics, ETH Zurich, Ramistrasse 101, HG G27.1, 8092, Zurich, Switzerland
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Letters in Mathematical Physics, 2015, vol. 105, no. 10, p. 1427-1448. Springer Netherlands
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:331405
    Summary
    In a recent paper, Pandharipande, Solomon and Tessler initiated a study of the intersection theory on the moduli space of Riemann surfaces with boundary. The authors conjectured KdV and Virasoro type equations that completely determine all intersection numbers. In this paper, we study these equations in detail. In particular, we prove that the KdV and the Virasoro type equations for the intersection numbers on the moduli space of Riemann surfaces with boundary are equivalent.