P. I. Dunin-Barkowski

Available identifiers

zbMath Open dunin-barkowski.petrMaRDI QIDQ735680

List of research outcomes

Publication	Date of Publication	Type
Loop equations and a proof of Zvonkine's $qr$-ELSV formula	2024-01-09	Paper
KP integrability through the $x-y$ swap relation	2023-09-21	Paper
Generalised ordinary vs fully simple duality for \(n\)-point functions and a proof of the Borot-Garcia-Failde conjecture	2023-07-28	Paper
Topological recursion, symplectic duality, and generalized fully simple maps	2023-04-23	Paper
Topological recursion for the extended Ooguri-Vafa partition function of colored HOMFLY-PT polynomials of torus knots	2023-03-03	Paper
Integrable hierarchies associated to infinite families of Frobenius manifolds	2023-02-03	Paper
A universal formula for the $x-y$ swap in topological recursion	2022-12-01	Paper
Explicit closed algebraic formulas for Orlov-Scherbin \(n\)-point functions	2022-07-19	Paper
Symplectic duality for topological recursion	2022-06-29	Paper
Combinatorics of Bousquet-Mélou-Schaeffer numbers in the light of topological recursion	2021-02-08	Paper
Topological recursion and Givental’s formalism: Spectral curves for Gromov-Witten theories	2020-11-27	Paper
Primary invariants of Hurwitz Frobenius manifolds	2020-11-27	Paper
Topological Recursion for the extended Ooguri-Vafa partition function of colored HOMFLY-PT polynomials of torus knots	2020-10-21	Paper
Combinatorial structure of colored HOMFLY-PT polynomials for torus knots	2019-12-12	Paper
Cut-and-join equation for monotone Hurwitz numbers revisited	2019-05-08	Paper
DUBROVIN’S SUPERPOTENTIAL AS A GLOBAL SPECTRAL CURVE	2019-05-07	Paper
Combinatorics of Loop Equations for Branched Covers of Sphere	2019-02-06	Paper
Evolution for Khovanov polynomials for figure-eight-like family of knots	2018-12-03	Paper
Quantum spectral curve for the Gromov-Witten theory of the complex projective line	2017-05-03	Paper
Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson–Pandharipande–Tseng formula	2015-12-18	Paper
On the homology of certain smooth covers of moduli spaces of algebraic curves	2015-06-10	Paper
Polynomiality of Hurwitz numbers, Bouchard-Mariño conjecture, and a new proof of the ELSV formula	2015-05-13	Paper
Identification of the Givental formula with the spectral curve topological recursion procedure	2014-06-18	Paper
Givental graphs and inversion symmetry	2013-07-12	Paper
NSR superstring measures in genus 5	2013-05-13	Paper
Geometric Hamiltonian formalism for reparameterization-invariant theories with higher derivatives	2009-10-23	Paper
Lattice Theta Constants vs Riemann Theta Constants and NSR Superstring Measures	2009-08-14	Paper

Research outcomes over time

Doctoral students

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