Teresa I. Hoekstra-Mendoza

activity

20192026

most citedOn the homotopy type of complexes of graphs with bounded domination number

1 citations · 1 across the 14 of their papers we have counts for

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6 papers · 1 filter

math.AT2025

2-Segal sets from cuts of rooted trees

Julia E. Bergner, Olivia Borghi, Pinka Dey +2

The theory of 2-Segal sets has connections to various important constructions such as the Waldhausen $S_{∙}$ -construction in algebraic $K$ -theory, Hall algebras, and (co)operad…

math.AT2022

Cup products and the higher topological complexity of configuration spaces of the circle with two anchored points

Teresa I. Hoekstra-Mendoza

In this paper we show how to compute cup products in the anchored configuration space of the circle with two anchored points using discrete Morse theory. Knowing how to compute cup…

math.AT2022

Bounds for the higher topological complexity of configuration spaces of trees

Teresa Hoekstra-Mendoza

For a tree $T$ , we show that for many positive integer values of $n$ , and an integer $s \geq 2$ , the higher topological complexity $T C_{s}$ of the unordered configuration spaces of t…

math.AT2021

Cohomology ring of tree braid groups and exterior face rings

Jesús González, Teresa Hoekstra-Mendoza

For a tree $T$ and a positive integer $n$ , let $B_{n} T$ denote the $n$ -strand braid group on $T$ . We use discrete Morse theory techniques to show that the cohomology ring $H^{*} (B_{n} T)$ …

math.AT2019

Farley-Sabalka's Morse-theory model and the higher topological complexity of ordered configuration spaces on trees

Jorge Aguilar-Guzmán, Jesús González, Teresa Hoekstra-Mendoza

Using the ordered analogue of Farley-Sabalka's discrete gradient field on the configuration space of a graph, we unravel a levelwise behavior of the generators of the pure braid gr…

math.AT2019★ 1 cited

On the homotopy type of complexes of graphs with bounded domination number

Jesús González, Teresa I. Hoekstra-Mendoza

Let $D_{n, γ}$ be the complex of graphs on $n$ vertices and domination number at least $γ$ . We prove that $D_{n, n - 2}$ has the homotopy type of a finite wedge of 2-spheres. This is d…