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arXiv · 2410.09709

Dubrovin conjecture and the second structure connection

John Alexander Cruz Morales·Todor Milanov
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Abstract

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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John Alexander Cruz Morales, Todor Milanov. 2024-10-13. Dubrovin conjecture and the second structure connection. https://arxiv.org/abs/2410.09709

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