39 citations · 67 across the 6 of their papers we have counts for
6 papers
Enumeration of almost polynomial rational functions with given critical values
Dmitri Panov, Dimitri Zvonkine
Enumerating ramified coverings of the sphere with fixed ramification types is a well-known problem first considered by A. Hurwitz. Up to now, explicit solutions have been obtained…
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…
Counting Meromorphic Functions with Critical Points of Large Multiplicities
Dmitri Panov, Dimitri Zvonkine
We study the number of meromorphic functions on a Riemann surface with given critical values and prescribed multiplicities of critical points and values. When the Riemann surface i…
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…