# Seminar talk, 6 October 2021

Speaker: Raffaele Vitolo

Title: WDVV equations and invariant bi-Hamiltonian formalism

Abstract:

The WDVV equations are central in Topological Field Theory and
Integrable Systems. We prove that in low dimensions the WDVV equations are
bi-Hamiltonian. The invariance of the bi-Hamiltonian formalism is proved for N
= 3. More examples in higher dimensions show that the result might hold in
general. The invariance group of the bi-Hamiltonian pairs is the group of
projective reciprocal transformations. The significance of projective
invariance of WDVV equations is discussed in detail. Computer algebra
programs that were used for calculations throughout the paper are provided in
a GitHub repository.

Based on a joint work with Jakub Vašíček.

References:

arXiv:2104.13206