67 citations · 510 across the 48 of their papers we have counts for
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Open -spin theory II: The analogue of Witten's conjecture for -spin disks
Alexandr Buryak, Emily Clader, Ran J. Tessler
We conclude the construction of -spin theory in genus zero for Riemann surfaces with boundary. In particular, we define open -spin intersection numbers, and we prove that the…
Simple Lax Description of the ILW Hierarchy
Alexandr Buryak, Paolo Rossi
In this note we present a simple Lax description of the hierarchy of the intermediate long wave equation (ILW hierarchy). Although the linear inverse scattering problem for the ILW…
Extended -spin theory in all genera and the discrete KdV hierarchy
Alexandr Buryak, Paolo Rossi
In this paper we construct a family of cohomology classes on the moduli space of stable curves generalizing Witten's -spin classes. They are parameterized by a phase space which…
Extended -spin theory and the mirror symmetry for the -singularity
Alexandr Buryak
By a famous result of K. Saito, the parameter space of the miniversal deformation of the -singularity carries a Frobenius manifold structure. The Landau-Ginzburg mirror sy…