3 papers
nlin.SI2026
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…
math.AG2025
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…
math.AG2025
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…