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