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math-ph2025
Dubrovin duality for open Hurwitz flat F-manifolds
Alessandro Proserpio, Ian A. B. Strachan
We prove that the Dubrovin dual of a Hurwitz Frobenius manifold extends naturally to an F-manifold with compatible flat connection on the universal curve, in the sense of the open…
math-ph2025
Diagonal invariants and genus-zero Hurwitz Frobenius manifolds
Alessandro Proserpio, Ian A. B. Strachan
The Frobenius manifold structure on the space of rational functions with multiple simple poles is constructed. In particular, the dependence of the Saito-flat coordinates on the fl…
math-ph2024
Legendre transforms for type and -systems
Misha Feigin, Leo Kaminski, Ian A. B. Strachan
The Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations have a rich structure related to the theory of Frobenius manifolds, with many known families of solutions. A Legendre transf…