paper

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

arXiv:math/0209071

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.

45 pages, 9 figures. A significantly extended version

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