160 citations · 1.4k across the 97 of their papers we have counts for
99 papers
Augmentation curve for torus knots
Alexander Hock, Sergey Shadrin
We prove a version of topological recursion for the correlation differentials of colored HOMFLY-PT polynomials of torus knots on the corresponding augmentation curves, following th…
A prismatic Riemann-Hilbert correspondence
Dylan Pentland
We study the category of constructible -Kummer-étale sheaves on the log adic generic fiber for the stratification induced by a horizont…
Triple Hodge integrals and constant Poisson brackets for rank-one Dubrovin-Zhang hierarchies
Xavier Blot, Guido Carlet, Dimitrios Makris +1
We prove a conjecture of Dubrovin, Liu, Yang, and Zhang that states that the Poisson bracket of the Dubrovin-Zhang hierarchy of a rank-one cohomological field theory is constant if…
Lifts of partial cohomological field theories and examples of bi-Hamiltonian structures in the non-semisimple case
Guido Carlet, Dimitrios Makris, Sergey Shadrin
We define the lift of a partial cohomological field theory with respect to a Frobenius algebra and the corresponding lift of local polyvector fields, extending the lift procedure p…
Resonance transformations for the minimal string via swap: a proof of Artemev's conjecture
Kornelis Dekinga, Sergey Shadrin, Erik Verlinde
This paper contains a proof of a recent conjecture of Artemev that connected the resonance transformations for the minimal string to the swap in the theory of topo…
Beyond descendants: integrable observables for cohomological field theories
Xavier Blot, Danilo Lewański, Sergey Shadrin
We introduce the concept of integrable observables and propose them as alternatives to the standard Witten's psi classes (a.k.a. descendants in quantum gravity) to be coupled…
A new family of weighted double Hurwitz numbers and a new ELSV-type formula with -classes
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We analyze a new family of weighted double Hurwitz numbers that was introduced as a notable example in the context of the duality for logarithmic topological recursion. We us…
The quantum integrable hierarchy for the Gromov-Witten theory of elliptic curves
Paolo Rossi, Sergey Shadrin, Ishan Jaztar Singh
We construct the quantum double ramification hierarchy associated with the Gromov-Witten theory of elliptic curves. We use results of Oberdieck and Pixton on the intersection numbe…
Operads of moduli spaces of points in revisited
Vladimir Dotsenko, Eduardo Hoefel, Sergey Shadrin +1
We study the operad structure on the homology of moduli spaces of pointed rooted trees of -dimensional projective spaces, introduced by Chen, Gibney and Krashen a couple of deca…
A new spin on polynomial relations among kappa classes
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We prove a recent conjecture of the fourth named author with P. Norbury that states a system of universal polynomial relations among the kappa classes on the moduli spaces of algeb…
Theta classes: generalized topological recursion, integrability and -constraints
Vincent Bouchard, Nitin K. Chidambaram, Alessandro Giacchetto +1
We study the intersection theory of the -classes, where and , which are cohomological field theories obtained as the top degrees of Chiodo clas…
Blobbed topological recursion and KP integrability
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We revise the notion of the blobbed topological recursion by extending it to the setting of generalized topological recursion as well as allowing blobs which do not necessarily adm…
Quantum Curves in the Context of Symplectic Duality
Alexander Hock, Sergey Shadrin
We discuss how to use the recent progress in understanding of the - duality and symplectic duality in the theory of topological recursion and its generalizations in order to…
Faber's socle intersection numbers via Gromov--Witten theory of elliptic curve
Xavier Blot, Sergey Shadrin, Ishan Jaztar Singh
The goal of this very short note is to give a new proof of Faber's formula for the socle intersection numbers in the tautological ring of . This new proof exhibits a…
KP integrability of non-perturbative differentials
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We prove the KP integrability of non-perturbative topological recursion, which can be considered as a formal -deformation of the Krichever construction of algebro-geometric…
Cohomological representations of quantum tau functions
Xavier Blot, Danilo Lewański, Sergey Shadrin
In 2016, Buryak and Rossi introduced the quantum Double Ramification (DR) hierarchies which associate a quantum integrable hierarchy to any Cohomological Field Theory (CohFT). Shor…
Degenerate and irregular topological recursion
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We use the theory of duality to propose a new definition / construction for the correlation differentials of topological recursion; we call it "generalized topological recurs…
Hidden structures behind ambient symmetries of the Maurer-Cartan equation
Vladimir Dotsenko, Sergey Shadrin
For every differential graded Lie algebra one can define two different group actions on the Maurer-Cartan elements: the ubiquitous gauge action and the action of $\m…
The master relation for polynomiality and equivalences of integrable systems
Xavier Blot, Adrien Sauvaget, Sergey Shadrin
We prove the so-called master relation in the tautological ring of the moduli space of curves that implies polynomial properties of the Dubrovin-Zhang hierarchies associated to dif…
Rooted trees with level structures, -classes and double ramification cycles
Xavier Blot, Danilo Lewański, Sergey Shadrin
We prove a new system of relations in the tautological ring of the moduli space of curves involving stable rooted trees with level structure decorated by the top Chern class of the…
Any topological recursion on a rational spectral curve is KP integrable
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We prove that for any initial data on a genus zero spectral curve the corresponding correlation differentials of topological recursion are KP integrable. As an application we prove…
On the strong DR/DZ equivalence conjecture
Xavier Blot, Danilo Lewanski, Sergey Shadrin
We establish the Miura equivalence of two integrable systems associated to a semi-simple cohomological field theory: the double ramification hierarchy of Buryak and the Dubrovin-Zh…
Symplectic duality via log topological recursion
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We review the notion of symplectic duality earlier introduced in the context of topological recursion. We show that the transformation of symplectic duality can be expressed as a c…
Structure of Dubrovin-Zhang free energy functions and universal identities
Sergey Shadrin, Zhe Wang
We prove a structural theorem relating the higher genera free energy functions of the Dubrovin-Zhang hierarchies to the Witten-Kontsevich free energy function of the Korteweg-de Vr…