José Luis Cisneros‐Molina

collaborators

4 papers

math.RT2025

McKay quivers of small finite subgroups of $G L (2, C)$

José Luis Cisneros-Molina, Meral Tosun

We explicitly compute the McKay quivers of small finite subgroups of $G L (2, C)$ relative to the natural representation, using character theory and the McKay quivers of fini…

math.AG2025

Classification of indecomposable reflexive modules on quotient singularities through Atiyah--Patodi--Singer theory

José Antonio Arciniega Nevárez, José Luis Cisneros-Molina, Agustín Romano Velázquez

In [20] Esnault asked whether on a general quotient surface singularity the rank and the first Chern class distinguish isomorphism classes of indecomposable reflexive modules. Wunr…

math.AG2023

Indexes of vector fields for mixed functions

José Luis Cisneros-Molina, Agustín Romano-Velázquez

A mixed function is a real analytic map $f : C^{n} \to C$ in the complex variables $z_{1}, \dots, z_{n}$ and their conjugates $z ˉ_{1}, \dots, z ˉ_{n}$ . In this art…

math.DG2023

Cheeger-Chern-Simons classes of representations of finite subgroups of $SL (2, C)$ and the spectrum of rational double point singularities

José Antonio Arciniega-Nevárez, José Luis Cisneros-Molina, Agustín Romano-Velázquez

Let $L$ be a compact oriented $3$ -manifold and $ρ : π_{1} (L) \to GL (n, C)$ a representation. Evaluating the Cheeger-Chern-Simons class $\widehat{c}_{ρ,k}\in H^{2k-…

McKay quivers of small finite subgroups of GL(2,C)

Classification of indecomposable reflexive modules on quotient singularities through Atiyah--Patodi--Singer theory

Indexes of vector fields for mixed functions

Cheeger-Chern-Simons classes of representations of finite subgroups of SL(2,C) and the spectrum of rational double point singularities

McKay quivers of small finite subgroups of $G L (2, C)$

Cheeger-Chern-Simons classes of representations of finite subgroups of $SL (2, C)$ and the spectrum of rational double point singularities