44 citations · 403 across the 28 of their papers we have counts for
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A construction of Multidimensional Dubrovin-Novikov Brackets
Ian A. B. Strachan
A method for the construction of classes of examples of multi-dimensional, multi-component Dubrovin-Novikov brackets of hydrodynamic type is given. This is based on an extension of…
Darboux coordinates for Hamiltonian structures defined by Novikov algebras
Ian A. B. Strachan
The Gauss-Manin equations are solved for a class of flat-metrics defined by Novikov algebras, this generalizing a result of Balinskii and Novikov who solved this problem in the cas…
Extended V-systems and almost-duality for extended affine Weyl orbit spaces
Richard Stedman, Ian A. B. Strachan
Rational solutions of the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations of associativity are given in terms a configurations of vectors which satisfy certain algebraic con…
Generalized Legendre transformations and symmetries of the WDVV equations
Ian A. B. Strachan, Richard Stedman
The Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations, as one would expect from an integrable system, has many symmetries, both continuous and discrete. One class - the so-cal…
Polynomial Modular Frobenius Manifolds
Ewan Morrison, Ian A. B. Strachan
The moduli space of Frobenius manifolds carries a natural involutive symmetry, and a distinguished class - so-called modular Frobenius manifolds - lie at the fixed points of this s…
Modular Frobenius manifolds and their invariant flows
Ewan K. Morrison, Ian A. B. Strachan
The space of Frobenius manifolds has a natural involutive symmetry on it: there exists a map which send a Frobenius manifold to another Frobenius manifold. Also, from a Frobeni…