29 citations · 81 across the 9 of their papers we have counts for
9 papers
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…
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…
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…
Regular F -manifolds with eventual identities
Sara Perletti, Ian A. B. Strachan
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,…
Novikov algebras and a classification of multicomponent Camassa-Holm equations
Ian A. B. Strachan, Blazej M. Szablikowski
A class of multi-component integrable systems associated to Novikov algebras, which interpolate between KdV and Camassa-Holm type equations, is obtained. The construction is based…
Simple Elliptic Singularities: a note on their G-function
I. A. B. Strachan
The link between Frobenius manifolds and singularity theory is well known, with the simplest examples coming from the simple hypersurface singularities. Associated with any such ma…
Logarithmic deformations of the rational superpotential/Landau-Ginzburg construction of solutions of the WDVV equations
James T. Ferguson, Ian A. B. Strachan
The superpotential in the Landau-Ginzburg construction of solutions to the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations is modified to include logarithmic terms. This res…
On the isomonodromic tau-function for the Hurwitz spaces of branched coverings of genus zero and one
A. Kokotov, I. A. B. Strachan
The isomonodromic tau-function for the Hurwitz spaces of branched coverings of genus zero and one are constructed explicitly. Such spaces may be equipped with the structure of a Fr…
Frobenius submanifolds
I. A. B. Strachan
The notion of a Frobenius submanifold - a submanifold of a Frobenius manifold which is itself a Frobenius manifold with respect to structures induced from the original manifold - i…