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Dubrovin conjecture and the second structure connection

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arxiv 2410.09709 v2 pith:OS5L3V5O submitted 2024-10-13 math.AG hep-th

John Alexander Cruz Morales , Todor Milanov This is my paper · ORCID
classification math.AGhep-th
keywords connectionquantumcohomologyconjecturedatadubrovingivemonodromy
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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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  1. Markov fractions and the slopes of the exceptional bundles on $\mathbb P^2$

    math.NT 2025-01 accept novelty 7.0 of 10

    The slopes of exceptional bundles on P2 are precisely the Markov fractions.

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