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Beyond descendants: integrable observables for cohomological field theories
Xavier Blot, Danilo LewaÅski, 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…
On the large genus of Hurwitz numbers
Davide Accadia, Danilo LewaÅski, Giulio Ruzza
Hurwitz theory provides a large variety of enumerative problems related to algebraic geometry, mathematical physics, and combinatorics. We give a general framework to approach the…
Les Houches lecture notes on moduli spaces of Riemann surfaces
Alessandro Giacchetto, Danilo LewaÅski
In these lecture notes, we provide an introduction to the moduli space of Riemann surfaces, a fundamental concept in the theories of 2D quantum gravity, topological string theory,…
The Spin Gromov-Witten/Hurwitz correspondence for
Alessandro Giacchetto, Reinier Kramer, Danilo LewaÅski +1
We study the spin Gromov-Witten (GW) theory of . Using the standard torus action on , we prove that the associated equivariant potential can be expresse…
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…
Cohomological representations of quantum tau functions
Xavier Blot, Danilo LewaÅski, 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…