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

Final prepublication version. Minor errors fixed and a new section with examples added

References in corpus (4)

• A generalized equation of state for dark energy
• Dubrovin's duality for $F$-manifolds with eventual identities
• F-manifolds with flat structure and Dubrovin's duality
• On the water-bag model of dispersionless KP hierarchy

Cited by in corpus (5)

• $F$-manifolds, multi-flat structures and Painlevé transcendents
• From Darboux-Egorov system to bi-flat $F$-manifolds
• $F$-manifolds with eventual identities, bidifferential calculus and twisted Lenard-Magri chains
• Generalized Legendre transformations and symmetries of the WDVV equations
• Regular F -manifolds with eventual identities