60 citations · 148 across the 9 of their papers we have counts for
9 papers
Stable tree expressions with Omega-classes and Double Ramification cycles
Xavier Blot, Danilo Lewański, Paolo Rossi +1
We propose a new system of conjectural relations in the tautological ring of the moduli space of curves involving stable rooted trees with level structure decorated by Hodge and Ω-…
On double Hurwitz numbers in genus 0
Sergei Shadrin, Michael Shapiro, Alek Vainshtein
We study double Hurwitz numbers in genus zero counting the number of covers $\CP^1\to\CP^1$ with two branching points with a given branching behavior. By the recent result due to G…
Wheeled PROPs, graph complexes and the master equation
M. Markl, S. Merkulov, S. Shadrin
We introduce and study wheeled PROPs, an extension of the theory of PROPs which can treat traces and, in particular, solutions to the master equations which involve divergence oper…
Belorousski-Pandharipande relation in dGBV algebras
Sergei Shadrin, Igor Shneiberg
We prove that the genus expansion of solutions of the WDVV equation constructed from dGBV algebras satisfy the differential equation determined by the Belorousski-Pandharipande rel…
Combinatorics of binomial decompositions of the simplest Hodge integrals
S. V. Shadrin
We reduce the calculation of the simplest Hodge integrals to some sums over decorated trees. Since Hodge integrals are already calculated, this gives a proof of a rather interestin…
Some relations for one-part double Hurwitz numbers
S. V. Shadrin
In this very short note we slightly generalize some relations for one-part double Hurwitz numbers from math.AG/0209282.
Intersections in genus 3 and the Boussinesq hierarchy
S. V. Shadrin
In this note we prove that the enlarged Witten's conjecture is true in the case of the Boussinesq hierarchy for correlators in genus 3 with descendants only at one point.
Geometry of meromorphic functions and intersections on moduli spaces of curves
Sergei Shadrin
In this paper we study relations between intersection numbers on moduli spaces of curves and Hurwitz numbers. First, we prove two formulas expressing Hurwitz numbers of (generalize…
A compactification and the Euler characteristic of the spaces of real meromorphic functions
S. V. Shadrin
For any connected component of the space of real meromorphic functions we build a compactification of the space . Then we express the Euler characteristics of t…