158 citations · 381 across the 19 of their papers we have counts for
10 papers · 1 filter
Polynomial relations among kappa classes on the moduli space of curves
Maxim Kazarian, Paul Norbury
We construct an infinite collection of universal -- independent of -- polynomials in the Miller-Morita-Mumford classes $κ_m\in H^{2m}( \overline{\cal M}_{g,n},\bq)$, define…
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…
Non-associative Hilbert scheme and Thom polynomials
Maxim Kazarian
Thom polynomial describes the cohomology class Poincaré dual to the locus of particular singularity of a generic holomorphic map. In this paper we derive a closed formula for the g…
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…
Discriminant of the ordinary transversal singularity type. The global equivalence class
Maxim Kazarian, Dmitry Kerner, András Némethi
Consider a space X with the singular locus of positive dimension, Z=Sing(X). Suppose both Z and X are locally complete intersections at each point. The transversal type of X along…