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math.AT2022
An algorithmic discrete gradient field and the cohomology algebra of configuration spaces of two points on complete graphs
Emilio J. González, Jesús González
We introduce an algorithm that constructs a discrete gradient field on any simplicial complex. We show that, in all situations, the gradient field is maximal possible and, in a num…
math.AT2020
Equivariant Nerve Lemma, simplicial difference, and models for configuration spaces on simplicial complexes
Emilio J. González, Jesús González
Wiltshire-Gordon has introduced a homotopy model for ordered configuration spaces on a given simplicial complex. That author asserts that, after a suitable subdivision, his model a…