Legendre transforms for type $A_n$ and $B_n$ $\vee$-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…