7 papers
Bicomplex Characteristic Classes
José Antonio Arciniega-Nevárez, Yesenia Bravo-Ortega, Inácio Rabelo +1
We introduce bicomplex fiber bundles and develop a framework for bicomplex characteristic classes and almost bicomplex structures on smooth manifolds. In the first part, we present…
Bicomplex polar weighted homogeneous polynomials
Yesenia Bravo, Inácio Rabelo, Agustín Romano-Velázquez
We study the topology of real polynomial maps expressed in terms of bicomplex variables and their conjugates, which we refer to as…
Indexes of vector fields for mixed functions
José Luis Cisneros-Molina, Agustín Romano-Velázquez
A mixed function is a real analytic map in the complex variables and their conjugates . In this art…
Cheeger-Chern-Simons classes of representations of finite subgroups of and the spectrum of rational double point singularities
José Antonio Arciniega-Nevárez, José Luis Cisneros-Molina, Agustín Romano-Velázquez
Let be a compact oriented -manifold and a representation. Evaluating the Cheeger-Chern-Simons class $\widehat{c}_{ρ,k}\in H^{2k-…
The classification of reflexive modules of rank one over rational and minimally elliptic singularities
András Némethi, Agustín Romano-Velázquez
We classify the reflexive modules of rank one over rational and minimally elliptic singularities. Equivalently, we classify full line bundles on the resolutions of rational and min…
Matrix factorization for quasi-homogeneous singularities
Ananyo Dan, Agustín Romano-Velázquez
Given an isolated, quasi-homogeneous singularity we prove that there is a group isomorphism between the group of rank one reflexive sheaves on and the free abelian group ge…