160 citations · 1.4k across the 97 of their papers we have counts for
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Maurer-Cartan methods in deformation theory: the twisting procedure
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
This monograph provides an overview on the Maurer-Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a conceptual, exhaustive and gentle treatment o…
A universal formula for the swap in topological recursion
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski +2
We prove a recent conjecture of Borot et al. that a particular universal closed algebraic formula recovers the correlation differentials of topological recursion after the swap of…
Enumeration of hypermaps and Hirota equations for extended rationally constrained KP
G. Carlet, J. van de Leur, H. Posthuma +1
We consider the Hurwitz Dubrovin--Frobenius manifold structure on the space of meromorphic functions on the Riemann sphere with exactly two poles, one simple and one of arbitrary o…
Tautological relations and integrable systems
Alexandr Buryak, Sergey Shadrin
We present a family of conjectural relations in the tautological cohomology of the moduli spaces of stable algebraic curves of genus with marked points. A large part of the…
Symplectic duality for topological recursion
Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian +1
We consider weighted double Hurwitz numbers, with the weight given by arbitrary rational function times an exponent of the completed cycles. Both special singularities are arbitrar…
Generalized cohomological field theories in the higher order formalism
Vladimir Dotsenko, Sergey Shadrin, Pedro Tamaroff
In the classical Batalin--Vilkovisky formalism, the BV operator is a differential operator of order two with respect to the commutative product. In the differential graded sett…