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arXiv · 2407.06368

Regular F -manifolds with eventual identities

Sara Perletti·Ian A. B. Strachan
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Abstract

Given an F-manifold one may construct a dual multiplication (generalizing the idea of an almost-dual Frobenius manifold introduced by Dubrovin) using a so-called eventual identity, the definition of which ensure that the dual object is also an F-manifold. In this paper we solve the equations for an eventual identity for a regular (so non-semi-simple) F-manifold and construct a dual coordinate system in which dual multiplication is preserved. As an application, families of Nijenhuis operators are constructed.

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Sara Perletti, Ian A. B. Strachan. 2024-07-08. Regular F -manifolds with eventual identities. https://doi.org/10.1088/1751-8121/ad8793

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