Regular non-semisimple Dubrovin-Frobenius manifolds
Differential Geometry
2022-11-23 v1 Mathematical Physics
math.MP
Abstract
We study regular non-semisimple Dubrovin-Frobenius manifolds in dimensions 2,3,4. We focus on the case where the Jordan canonical form of the operator of multiplication by the Euler vector field has a single Jordan block. Our results rely on the existence of special local coordinates introduced in [4] for regular flat F-manifolds with Euler vector field. In such coordinates the invariant metric of the Dubrovin-Frobenius manifold takes a special form which is the starting point of our construction.
Keywords
Cite
@article{arxiv.2202.07383,
title = {Regular non-semisimple Dubrovin-Frobenius manifolds},
author = {Paolo Lorenzoni and Sara Perletti},
journal= {arXiv preprint arXiv:2202.07383},
year = {2022}
}