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arXiv · 2202.07383

Regular non-semisimple Dubrovin-Frobenius manifolds

Paolo Lorenzoni·Sara Perletti
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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.

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Paolo Lorenzoni, Sara Perletti. 2022-02-15. Regular non-semisimple Dubrovin-Frobenius manifolds. https://doi.org/10.1063/5.0094580

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