160 citations · 1.4k across the 97 of their papers we have counts for
7 papers · 1 filter
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…