The Witten Equation, Quantum Cohomology and the Dubrovin Connection

Mathematics is the music of reason ~
James Joseph Sylvester

In my last post in this series on the Witten-equation, I showed that the genus-zero Landau-Ginzburg/Calabi-Yau correspondence amounts to the assertion that there is a degree-preserving isomorphism between the two state spaces and that after certain identifications, the small J-functions coincide, thus, the 'Picard-Lefschetz' Witten relation