Jes'us Gonz'alez

activity

20242026

collaborators

6 papers

math.RT2026

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

JesÃºs Arturo JimÃ©nez GonzÃ¡lez, Andrzej MrÃ³z

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.AT2026

A combinatorial genesis of the right-angled relations in Artin's classical braid groups

Omar Alvarado-GarduÃ±o, JesÃºs GonzÃ¡lez, Matthew Kahle

The configuration space $UC (n, p \times q)$ of $n$ unlabelled non-overlapping unit squares in a $p \times q$ rectangle is known to recover the homotopy type of the classical co…

math.AT2026

On the sequential topological complexity and the LS-category of the cofiber of higher diagonals for symmetric products of non-orientable surfaces

JesÃºs GonzÃ¡lez, Ekansh Jauhari

For positive integers $k$ , $n$ , and $g$ with $k \geq 2$ , we give a closed-form expression for the $k$ -th $Z_{2}$ -zero-divisor cup length $zcl_{k} (S P^{n} (N_{g}))$ of the $n$ …

math.AT2026

The 15 Puzzle and homological stability in the space direction

JesÃºs GonzÃ¡lez, Matthew Kahle, Nicholas Wawrykow

The ordered configuration space of $n$ open unit squares in the $w$ by $h$ rectangle exhibits homological stability in the space direction. That is, for fixed $n$ and fixed homolog…

math.GT2025

Square-section braid groups and Higman-Neumann-Neumann extensions

Omar Alvarado-GarduÃ±o, JesÃºs GonzÃ¡lez

For positive integers $n$ , $p$ and $q$ with $pq - n > 0$ , let $U C (n, p \times q)$ denote the configuration space of $n$ unlabelled hard unit squares in the rectangle $[0, p] \times [0, q]$ ,…

math.AT2024

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

Daciberg Lima GonÃ§alves, JesÃºs GonzÃ¡lez

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

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

A combinatorial genesis of the right-angled relations in Artin's classical braid groups

On the sequential topological complexity and the LS-category of the cofiber of higher diagonals for symmetric products of non-orientable surfaces

The 15 Puzzle and homological stability in the space direction

Square-section braid groups and Higman-Neumann-Neumann extensions

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

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