3 papers
math.AG2026
Dubrovin conjecture and the second structure connection
John Alexander Cruz Morales, Todor Milanov
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 k…
math.AG2025
A tentative proposal towards an equivariant mirror symmetry for Hitchin systems
John Alexander Cruz Morales
Motivated by Aganagic's equivariant mirror symmetry for certain Coulomb branches of a gauge quiver theory, we would like to propose a set of ideas towards an…
math.HO2025
On Physical Mathematics: an approach through Gilles Châtelet's philosophy
John Alexander Cruz Morales
Starting from Greg Moore's description about Physical Mathematics, a framework is proposed in order to understand it, based on Gilles Châtelet's philosophy. It will be argued that…