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pro vyhledávání: '"Morales, John Alexander Cruz"'
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
Externí odkaz:
http://arxiv.org/abs/2410.09709
In this paper, first we introduce a new approach to the notion of $F$-algebroids, which is a generalization of $F$-manifold algebras and $F$-manifolds, and show that $F$-algebroids are the corresponding semi-classical limits of pre-Lie formal deforma
Externí odkaz:
http://arxiv.org/abs/2203.11107
Autor:
Morales, John Alexander Cruz
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 introduces schemes and toposes as generalizations of classical notion
Externí odkaz:
http://arxiv.org/abs/2105.08799
We define F-algebra--Rinehart pairs and super F-algebroids and study the connection between them.
Comment: 14 pages. Version 2, the main result has not been changed; a discussion about tensor product and direct product of F-algebras has been add
Comment: 14 pages. Version 2, the main result has not been changed; a discussion about tensor product and direct product of F-algebras has been add
Externí odkaz:
http://arxiv.org/abs/1904.04724
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, introduced by Dubrovin, in terms of a composition of two anchor maps o
Externí odkaz:
http://arxiv.org/abs/1805.08086
In this article we present and describe a notion of "logical perfection". We extract the notion of "perfection" from the contemporary logical concept of categoricity. Categoricity (in power) has become in the past half century a main driver of ideas
Externí odkaz:
http://arxiv.org/abs/1803.04909
Autor:
Morales, John Alexander Cruz, Movasati, Hossein, Nikdelan, Younes, Roychowdhury, Raju, Torres, Marcus A. C.
Publikováno v:
SIGMA 14 (2018), 003, 14 pages
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 later solved by Halphen concerning finding infinite number of double or
Externí odkaz:
http://arxiv.org/abs/1709.09682
Autor:
Morales, John Alexander Cruz, Kuznetsov, Alexander, Mellit, Anton, Perrin, Nicolas, Smirnov, Maxim
The subject of this paper is the big quantum cohomology rings of symplectic isotropic Grassmannians $\text{IG}(2, 2n)$. We show that these rings are regular. In particular, by "generic smoothness", we obtain a conceptual proof of generic semisimplici
Externí odkaz:
http://arxiv.org/abs/1705.01819
Publikováno v:
SIGMA 9 (2013), 005, 13 pages
In this note we provide a new, algebraic proof of the excessive Laurent phenomenon for mutations of potentials (in the sense of [Galkin S., Usnich A., Preprint IPMU 10-0100, 2010]) by introducing to this theory the analogue of the upper bounds from [
Externí odkaz:
http://arxiv.org/abs/1301.4541
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 the results of D. Guzzetti that confirm Dubrovin's conjecture for proj
Externí odkaz:
http://arxiv.org/abs/1211.5266