The construction of Frobenius manifolds from KP tau-functions (Q1809223)

This paper is devoted to the study of Frobenius manifolds (solution of WDVV equations). The authors consider the following problems: 1. the semi-infinite wedge representation of the group \(\text{GL}_\infty\) and Sato's Grassmannian; 2. the Boson-Fermion correspondence; 3. the KP hierarchy as a dynamical system; 4. solutions of the Darboux-Egoroff system; 5. semisimple Frobenius manifolds. The solutions of the Darboux-Egoroff system are constructed by considering this system as a special case of the Sato equation.