Jos'e Luis Le'on-Medina

activity

20192025

most citedLinear motion planning with controlled collisions and pure planar braids

15 citations · 15 across the 3 of their papers we have counts for

collaborators

3 papers

math.GT2025

3-manifold polynomials

José Frías, José Carlos Gómez-Larrañaga, José Luis León-Medina +1

We propose a way to derive polynomial invariants of closed, orientable $3$ -manifolds from Heegaard diagrams via cellularly embedded graphs. Given a Heegaard diagram of an irreducib…

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…

math.AT2019★ 15 cited

Linear motion planning with controlled collisions and pure planar braids

Jesús González, José Luis León-Medina, Christopher Roque

We compute the Lusternik-Schnirelmann category (LS-cat) and the higher topological complexity ( $T C_{s}$ , $s \geq 2$ ) of the "no- $k$ -equal" configuration space Conf $_{k} (R, n)$ . T…