We define higher quantum Airy structures as generalizations of the Kontsevich–Soibelman
quantum Airy structures by allowing differential operators of arbitrary order (instead of only …

We define the double ramification hierarchy associated to an F-cohomological field theory
and use this construction to prove that the principal hierarchy of any semisimple …

In this paper, we generalize the Givental theory for Frobenius manifolds and cohomological
field theories to flat F-manifolds and F-cohomological field theories. In particular, we define a …

We show that Walcher's disk potential for the quintic threefold can be represented as a
central charge of a specific Gauged Linear Sigma Model which we call the extended quintic …

In this paper we construct a family of cohomology classes on the moduli space of stable
curves generalizing Witten's r-spin classes. They are parameterized by a phase space which …

We conclude the construction of $ r $-spin theory in genus zero for Riemann surfaces with
boundary. In particular, we define open $ r $-spin intersection numbers, and we prove that …

In their fundamental work, Dubrovin and Zhang, generalizing the Virasoro equations for the
genus 0 Gromov–Witten invariants, proved the Virasoro equations for a descendent …

In this paper, we address the problem of classification of quasi‐homogeneous formal power
series providing solutions of the oriented associativity equations. Such a classification is …

In our previous two papers, we constructed an r-spin theory in genus zero for Riemann
surfaces with boundary and fully determined the corresponding intersection numbers …

The papers arXiv: 2003.01082 [math-ph], arXiv: 1809.02536 [math. SG], arXiv: 2211.16302
[math-ph], arXiv: 2203.02423 [math. AG] constructed an intersection theory on the moduli …