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Topological Recursions of Eynard–Orantin Type for Intersection Numbers on Moduli Spaces of Curves

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Abstract

We prove that the Virasoro constraints satisfied by the higher Weil–Petersson volumes of moduli spaces of curves are equivalent to Eynard–Orantin topological recursions for some spectral curve. This provides a geometric proof of a result originally derived using a matrix model by Eynard.

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  1. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China

    Jian Zhou

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  1. Jian Zhou
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Zhou, J. Topological Recursions of Eynard–Orantin Type for Intersection Numbers on Moduli Spaces of Curves. Lett Math Phys 103, 1191–1206 (2013). https://doi.org/10.1007/s11005-013-0632-7

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  • DOI: https://doi.org/10.1007/s11005-013-0632-7

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