Strebel differentials on stable curves and Kontsevich's proof of Witten's conjecture

By Dimitri Zvonkine. 2002

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We define Strebel differentials for stable complex curves, prove the existence and uniqueness theorem that generalizes Strebel’s theorem for smooth curves, prove that Strebel differentials form a continuous family over the moduli space of stable curves, and show how this construction can be applied to clarify a delicate point in Kontsevich’s proof of Witten’s conjecture.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f86fb22afa4e3e3a640847347dbcf60f2be29c30