19 citations
- Benemérita Universidad Autónoma de PueblaMX2 papers
- Universidad Nacional Autónoma de MéxicoMX2 papers
- Beijing International Studies UniversityCN1 paper
- Consejo Superior de Investigaciones CientíficasES1 paper
- Institute of Mathematical SciencesIN1 paper
- Instituto Tecnológico de OaxacaMX1 paper
- Janssen (France)FR1 paper
- Laboratoire Univers et ThéoriesFR1 paper
- Mathematics Research CenterMX1 paper
- Observatoire de ParisFR1 paper
- Peking UniversityCN1 paper
- Peking University International HospitalCN1 paper
5 papers
On the extremal spectral properties of random graphs
C. T Martínez Martínez, J. A. Méndez Bermúdez
In this work, we study some statistical properties of the extreme eigenstates of the randomly-weighted adjacency matrices of random graphs. We focus on two random graph models: Erd…
A topological quantum field theory for -instantons
Rafael Herrera, Sergio A. Holguin Cardona, Alexander Quintero Velez
We construct a topological quantum field theory based on the moduli space of -instantons on 8-dimensional manifolds. Using the Mathai-Quillen formalism, we derive…
Deformation Theory for Finite Cluster Complexes
Nathan Ilten, Alfredo Nájera Chávez, Hipolito Treffinger
We study the deformation theory of the Stanley-Reisner rings associated to cluster complexes for skew-symmetrizable cluster algebras of geometric and finite cluster type. In partic…
Riemannian Rigidity of the Parallel Postulate in Total Curvature
Jian Ge, Luis Guijarro, Pedro Solórzano
We prove that the Euclidean plane is the only Riemannian plane with total curvature and free of conjugate points that satisfies Playfair's version of the parallel postulate.
Hamiltonian study for Chern-Simons and Pontryagin theories
Alberto Escalante, Leopoldo Carbajal
The Hamiltonian analysis for the Chern-Simons theory and Pontryagin invariant, which depends of a connection valued in the Lie algebra of SO(3,1), is performed. By applying a pure…