Jes'us Gonz'alez

activity

20242026

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4 papers · 1 filter

math.AT2024

Borsuk--Ulam property for graphs II: The $Z_{n}$ -action

Daciberg Lima Gonçalves, Jesús González

For a finite group $H$ and connected topological spaces $X$ and $Y$ such that $X$ is endowed with a free left $H$ -action $τ$ , we provide a geometric condition in terms of the exist…

math.AT2024

Abrams' stabilization theorem for no-k-equal configuration spaces on graphs

Omar Alvarado-Garduño, Jesús González

For a graph $G$ , let Conf $(G, n)$ denote the classical configuration space of $n$ labelled points in $G$ . Abrams introduced a cubical complex, denoted here by DConf $(G, n)$ , sitting…

math.RT2024

A graph theoretic model for the derived categories of gentle algebras and their homological bilinear forms

Jesús Arturo Jiménez González, Andrzej Mróz

We customize the existing models for the bounded derived category of gentle algebras to obtain simple graph theoretic tools to analyze indecomposable objects, Auslander-Reiten tria…

math.AT2024

The rational (non-)formality of the non-3-equal manifolds

Jesús González, José Luis León-Medina

Let $M_{d}^{(k)} (n)$ be the manifold of $n$ -tuples $(x_{1}, \dots, x_{n}) \in (R^{d})^{n}$ having non- $k$ -equal coordinates. We show that, for $d \geq 2$ , $M_{d}^{(3)} (n)$ is rationall…

Borsuk--Ulam property for graphs II: The Zn​-action

Abrams' stabilization theorem for no-k-equal configuration spaces on graphs

A graph theoretic model for the derived categories of gentle algebras and their homological bilinear forms

The rational (non-)formality of the non-3-equal manifolds

Borsuk--Ulam property for graphs II: The $Z_{n}$ -action