44 citations · 403 across the 28 of their papers we have counts for
28 papers
The Saito determinant for Coxeter discriminant strata
Georgios Antoniou, Misha Feigin, Ian A. B. Strachan
Let be a finite Coxeter group and its reflection representation. The orbit space has the remarkable Saito flat metric defined as a Lie derivative of th…
Complex hyperkähler structures defined by Donaldson-Thomas invariants
Tom Bridgeland, Ian A. B. Strachan
The notion of a Joyce structure was introduced in arXiv:1912.06504 to describe the geometric structure on the space of stability conditions of a CY3 category naturally encoded by t…
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…