J. Cisneros-Molina

activity

20072026

most citedEquivalence of Milnor and Milnor-Lê fibrations for real analytic maps

9 citations · 19 across the 11 of their papers we have counts for

collaborators

11 papers

math.CO2026

Powers and trace of symmetric powers of $2 \times 2$ matrices and combinatorial, Fibonacci and Lucas identities

José Luis Cisneros-Molina

Let $A$ be an arbitrary $2 \times 2$ matrix. In \cite{Cisneros:PhD,Cisneros:I2x2M} I gave a formula for the trace of the $k$ -th symmetric power of $A$ in terms of the anti-diagonal…

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-…

math.AG2021★ 9 cited

Equivalence of Milnor and Milnor-Lê fibrations for real analytic maps

José Luis Cisneros-Molina, Aurélio Menegon

In [22] Milnor proved that a real analytic map $f : (R^{n}, 0) \to (R^{p}, 0)$ , where $n \geq p$ , with an isolated critical point at the origin has a fibration on the tube $f|\colon…

math.AG2020★ 4 cited

Fibration theorems à la Milnor for differentiable maps with non-isolated singularities

JosÉ Luis Cisneros-Molina, AurÉlio Menegon, JosÉ Seade +1

We prove fibration theorems à la Milnor for differentiable real maps with non isolated critical values. We study the situation for maps with linear discriminant, and prove that the…

math.AT2019

Multiple points of a simplicial map and image-computing spectral sequences

José Luis Cisneros-Molina, David Mond

The Image-Computing Spectral Sequence computes the homology of the image of a finite map from the alternating homology of the multiple point spaces of the map. A related spectral s…

math.KT2018★ 1 cited

Relative group (co)homology theories with coefficients and the comparison homomorphism

José Antonio Arciniega-Nevárez, José Luis Cisneros-Molina, Luis Jorge Sánchez Saldaña

Let $G$ be a group, let $H$ be a subgroup of $G$ and let $\Or(G)$ be the orbit category. In this paper we extend the definition of the relative group (co)homology theories of the p…

math.GT2013★ 4 cited

Invariants of hyperbolic 3-manifolds in relative group homology

José Antonio Arciniega-Nevárez, José Luis Cisneros-Molina

Let $M$ be a complete oriented hyperbolic $3$ --manifold of finite volume. Using classifying spaces for families of subgroups we construct a class $β_{P} (M)$ in the Adamson relative h…

math.AG2007★ 1 cited

Refinements of Milnor's Fibration Theorem for Complex Singularities

José-Luis Cisneros-Molina, Jose Seade, Jawad Snoussi

Let $X$ be an analytic subset of an open neighbourhood $U$ of the origin $0$ in $C^{n}$ . Let $f : (X, 0) \to (C, 0)$ be holomorphic and se…