35 citations · 38 across the 3 of their papers we have counts for
6 papers
Double Hurwitz numbers and multisingularity loci in genus 0
Maxim Kazarian, Sergei Lando, Dimitri Zvonkine
In the Hurwitz space of rational functions on CP^1 with poles of given orders, we study the loci of multisingularities, that is, the loci of functions with a given ramification pro…
On framed simple purely real Hurwitz numbers
Maxim Kazarian, Sergey Lando, Sergey Natanzon
We present a study of real Hurwitz numbers enumerating a special kind of real meromorphic functions, which we call simple framed purely real functions. We deduce partial differenti…
Delta-matroids and Vassiliev invariants
Sergey Lando, Vyacheslav Zhukov
Vassiliev (finite type) invariants of knots can be described in terms of weight systems. These are functions on chord diagrams satisfying so-called 4-term relations. In the study o…
Combinatorial solutions to integrable hierarchies
M. Kazarian, S. Lando
We give a review of modern approaches to constructing formal solutions to integrable hierarchies of mathematical physics, whose coefficients are answers to various enumerative prob…
Universal cohomological expressions for singularities in families of genus 0 stable maps
Maxim Kazarian, Sergey Lando, Dimitri Zvonkine
We consider families of curve-to-curve maps that have no singularities except those of genus 0 stable maps and that satisfy a versality condition at each singularity. We provide a…
Thom polynomials for maps of curves with isolated singularities
M. E. Kazarian, S. K. Lando
Thom (residual) polynomials in characteristic classes are used in the analysis of geometry of functional spaces. They serve as a tool in description of classes Poincaré dual to sub…