Elements of Saito theory via Batalin--Vilkovisky algebras
Algebraic Geometry
2026-01-05 v1
Abstract
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 a primitive form or, equivalently, a good basis. We study primitive forms and respective Dubrovin--Frobenius manifolds via BV-algebras. In particular, we give recursive formulae for the primitive form of K. Saito and the R-matrix of Givental using BV-algebra computations.
Keywords
Cite
@article{arxiv.2601.00132,
title = {Elements of Saito theory via Batalin--Vilkovisky algebras},
author = {Alexey Basalaev},
journal= {arXiv preprint arXiv:2601.00132},
year = {2026}
}