Strebel differentials on stable curves and Kontsevich's proof of Witten's conjecture
Algebraic Geometry
2007-05-23 v2
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.
Cite
@article{arxiv.math/0209071,
title = {Strebel differentials on stable curves and Kontsevich's proof of Witten's conjecture},
author = {Dimitri Zvonkine},
journal= {arXiv preprint arXiv:math/0209071},
year = {2007}
}
Comments
45 pages, 9 figures. A significantly extended version