Dubrovin conjecture and the second structure connection

Kavli Affiliate: Todor Milanov

| First 5 Authors: John Alexander Cruz Morales, Todor Milanov, , ,

| Summary:

We give a reformulation of the Dubrovin conjecture about the semisimplicity
of quantum cohomology in terms of the so-called second structure connection of
quantum cohomology. The key ingredient in our work is the notion of a twisted
reflection vector which allows us to give an elegant description of the
monodromy data of the quantum connection in terms of the monodromy data of its
Laplace transform.

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