Trigonometric-systems and solutions of WDVV equations
M Alkadhem, M Feigin - Journal of Physics A: Mathematical and …, 2020 - iopscience.iop.org
We consider a class of trigonometric solutions of Witten–Dijkgraaf–Verlinde–Verlinde
equations determined by collections of vectors with multiplicities. We show that such …
equations determined by collections of vectors with multiplicities. We show that such …
Legendre transforms for type and -systems
M Feigin, L Kaminski, IAB Strachan - arXiv preprint arXiv:2407.20349, 2024 - arxiv.org
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 …
the theory of Frobenius manifolds, with many known families of solutions. A Legendre …
Commutativity equations and their trigonometric solutions
M Alkadhem, M Feigin - arXiv preprint arXiv:2210.03111, 2022 - arxiv.org
We consider commutativity equations $ F_i F_j= F_j F_i $ for a function $ F (x^ 1,\dots, x^ N),
$ where $ F_i $ is a matrix of the third order derivatives $ F_ {ikl} $. We show that under …
$ where $ F_i $ is a matrix of the third order derivatives $ F_ {ikl} $. We show that under …
Trigonometric∨-systems and solutions of WDVV and related equations
M Alkadhem - 2022 - theses.gla.ac.uk
This thesis contains three parts related to trigonometric solutions of Witten–Dijkgraaf–
Verlinde–Verlinde (WDVV) equations. In the first part of the thesis we consider a class of …
Verlinde–Verlinde (WDVV) equations. In the first part of the thesis we consider a class of …