39 citations · 67 across the 6 of their papers we have counts for
4 papers · 1 filter
An algebra of power series arising in the intersection theory of moduli spaces of curves and in the enumeration of ramified coverings of the sphere
Dimitri Zvonkine
A bracket is a function that assigns a number to each monomial in variables τ_0, τ_1, ... We show that any bracket satisfying the string and the dilaton relations gives rise to a p…
Counting ramified coverings and intersection theory on Hurwitz spaces II (Local structure of Hurwitz spaces and combinatorial results)
Dimitri Zvonkine
The Hurwitz space is a compactification of the space of rational functions of a given degree. We study the intersection of various strata of this space with its boundary. A study o…
Counting ramified coverings and intersection theory on spaces of rational functions I (Cohomology of Hurwitz spaces)
Sergei Lando, Dimitri Zvonkine
The Hurwitz space is a compactification of the space of rational functions of a given degree. The Lyashko-Looijenga map assigns to a rational function the set of its critical value…
Strebel differentials on stable curves and Kontsevich's proof of Witten's conjecture
Dimitri Zvonkine
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 diffe…