Symmetries of F-manifolds with eventual identities and special families of connections

TL;DR

This paper develops a duality framework for F-manifolds with eventual identities and special connections, exploring its interactions with established Frobenius and F-manifold theories.

Contribution

It introduces a novel duality for F-manifolds with specific structures and analyzes its relationship with existing Frobenius and F-manifold constructions.

Findings

Established a duality for F-manifolds with eventual identities

Analyzed interactions with Frobenius manifold structures

Provided new insights into the geometry of special connections

Abstract

We construct a duality for F-manifolds with eventual identities and special families of connections and we describe its interactions with several well-known constructions from the theory of Frobenius and F-manifolds.