Seminar talk, 6 October 2021: Difference between revisions
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Based on a joint work with Jakub Vašíček. | Based on a joint work with Jakub Vašíček. | ||
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Latest revision as of 08:40, 4 January 2025
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.
Video
Slides: VitoloIUM.pdf
References:
arXiv:2104.13206