349 citations · 632 across the 11 of their papers we have counts for
6 papers · 1 filter
Real-normalized differentials with a single order pole
Igor Krichever, Sergei Lando, Alexandra Skripchenko
A meromorphic differential on a Riemann surface is said to be {\it real-normalized} if all its periods are real. Real-normalized differentials on Riemann surfaces of given genus wi…
An algebro-geometric proof of Witten's conjecture
M. E. Kazarian, S. K. Lando
We present a new proof of Witten's conjecture. The proof is based on the analysis of the relationship between intersection indices on moduli spaces of complex curves and Hurwitz nu…
Towards the Intersection Theory on Hurwitz Spaces
M. E. Kazaryan, S. K. Lando
Moduli spaces of algebraic curves and closely related to them Hurwitz spaces, that is, spaces of meromorphic functions on the curves, arise naturally in numerous problems of algebr…
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…
Hurwitz numbers and intersections on moduli spaces of curves
T. Ekedahl, S. Lando, M. Shapiro +1
This article is an extended version of preprint math.AG/9902104. We find an explicit formula for the number of topologically different ramified coverings of a sphere by a genus g s…
On Hurwitz numbers and Hodge integrals
Torsten Ekedahl, Sergei Lando, Michael Shapiro +1
In this paper we find an explicit formula for the number of topologically different ramified coverings $C\to\CP^1$ (C is a compact Riemann surface of genus g) with only one complic…