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

Dimitri Zvonkine

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arXiv · math/0209071

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

Dimitri Zvonkine

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Abstract

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.

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BibTeX RIS

Dimitri Zvonkine. 2004-01-07. Strebel differentials on stable curves and Kontsevich's proof of Witten's conjecture. https://arxiv.org/abs/math/0209071

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