160 citations · 1.4k across the 97 of their papers we have counts for
10 papers · 1 filter
Ramifications of Hurwitz theory, KP integrability and quantum curves
A. Alexandrov, D. Lewanski, S. Shadrin
In this paper we revisit several recent results on monotone and strictly monotone Hurwitz numbers, providing new proofs. In particular, we use various versions of these numbers to…
Poisson cohomology of scalar multidimensional Dubrovin-Novikov brackets
Guido Carlet, Matteo Casati, Sergey Shadrin
We compute the Poisson cohomology of a scalar Poisson bracket of Dubrovin-Novikov type with independent variables. We find that the second and third cohomology groups are gener…
Toric varieties of Loday's associahedra and noncommutative cohomological field theories
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
We introduce and study several new topological operads that should be regarded as nonsymmetric analogues of the operads of little 2-disks, framed little 2-disks, and Deligne-Mumfor…
Dubrovin's superpotential as a global spectral curve
Petr Dunin-Barkowski, Paul Norbury, Nicolas Orantin +2
We apply the spectral curve topological recursion to Dubrovin's universal Landau-Ginzburg superpotential associated to a semi-simple point of any conformal Frobenius manifold. We s…
The bi-Hamiltonian cohomology of a scalar Poisson pencil
Guido Carlet, Hessel Posthuma, Sergey Shadrin
We compute the bi-Hamiltonian cohomology of an arbitrary dispersionless Poisson pencil in a single dependent variable using a spectral sequence method. As in the KdV case, we obtai…
Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson-Pandharipande-Tseng formula
Petr Dunin-Barkowski, Danilo Lewanski, Alexandr Popolitov +1
In this paper we present an example of a derivation of an ELSV-type formula using the methods of topological recursion. Namely, for orbifold Hurwitz numbers we give a new proof of…
Chiodo formulas for the r-th roots and topological recursion
Danilo Lewanski, Alexandr Popolitov, Sergey Shadrin +1
We analyze Chiodo's formulas for the Chern classes related to the r-th roots of the suitably twisted integer powers of the canonical class on the moduli space of curves. The inters…
Blobbed topological recursion: properties and applications
Gaëtan Borot, Sergey Shadrin
We study the set of solutions of abstract loop equations. We prove that is determined by its purely holomorphic part: this results in a de…
Pre-Lie deformation theory
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
In this paper, we develop the deformation theory controlled by pre-Lie algebras; the main tool is a new integration theory for pre-Lie algebras. The main field of application lies…
Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed
Guido Carlet, Hessel Posthuma, Sergey Shadrin
We prove that the bihamiltonian cohomology of a semisimple pencil of Poisson brackets of hydrodynamic type vanishes for almost all degrees. This implies the existence of a full dis…