4 citations · 8 across the 6 of their papers we have counts for
8 papers
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…
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…
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…
The notion of space in Grothendieck: from schemes to a geometry of forms
John Alexander Cruz Morales
In this essay we give a general picture about the evolution of Grohendieck's ideas regarding the notion of space. Starting with his fundamental work in algebraic geometry, where he…
On F-Algebroids and Dubrovin's Duality
John Alexander Cruz Morales, Alexander Torres-Gomez
In this note we introduce the concept of F-algebroid, and give its elementary properties and some examples. We provide a description of the almost duality for Frobenius manifolds,…
Manifold Ways to Darboux-Halphen System
John Alexander Cruz Morales, Hossein Movasati, Younes Nikdelan +2
Many distinct problems give birth to Darboux-Halphen system of differential equations and here we review some of them. The first is the classical problem presented by Darboux and l…
On quantum cohomology of Grassmannians of isotropic lines, unfoldings of -singularities, and Lefschetz exceptional collections
John Alexander Cruz Morales, Alexander Kuznetsov, Anton Mellit +2
The subject of this paper is the big quantum cohomology rings of symplectic isotropic Grassmannians . We show that these rings are regular. In particular, by "gen…
Stokes matrices for the quantum differential equations of some Fano varieties
John Alexander Cruz Morales, Marius van der Put
The classical Stokes matrices for the quantum differential equation of projective n-space are computed, using multisummation and the so-called monodromy identity. Thus, we recover…