2 citations · 4 across the 4 of their papers we have counts for
6 papers
BKP and CKP hierarchies via orbifold Saito theory
Alexey Basalaev
Semisimple Dubrovin-Frobenius manifolds can be used to construct integrable hierarchies, following the work of Dubrovin-Zhang and Buryak. Examples of such hierarchies include the K…
Elements of Saito theory via Batalin--Vilkovisky algebras
Alexey Basalaev
Saito theory associates to a quasihomogeneous isolated singularity the structure of a Dubrovin--Frobenius manifold. This structure is not unique, depending on the special choice of…
Orbifold Saito theory of A and D type singularities
Alexey Basalaev, Anton Rarovskii
Saito theory associates to an isolated singularity rich structure that plays an important role in mirror symmetry. In this note we construct Saito theory for A and D type Landau--G…
A construction of open descendant potentials in all genera
Alexander Alexandrov, Alexey Basalaev, Alexandr Buryak
We present a construction of an open analogue of total descendant and total ancestor potentials via an "open version" of Givental's action. Our construction gives a genus expansion…
Open Saito theory for and singularities
Alexey Basalaev, Alexandr Buryak
A well known construction of B. Dubrovin and K. Saito endows the parameter space of a universal unfolding of a simple singularity with a Frobenius manifold structure. In our paper…
Open WDVV equations and Virasoro constraints
Alexey Basalaev, Alexandr Buryak
In their fundamental work, B. Dubrovin and Y. Zhang, generalizing the Virasoro equations for the genus 0 Gromov-Witten invariants, proved the Virasoro equations for a descendent po…