Dubrovin conjecture and the second structure connection
Algebraic Geometry
2024-10-15 v1 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.2410.09709,
title = {Dubrovin conjecture and the second structure connection},
author = {John Alexander Cruz Morales and Todor Milanov},
journal= {arXiv preprint arXiv:2410.09709},
year = {2024}
}
Comments
38 pages, comments are welcome