The topological complexity of pure graph braid groups is stably maximal
Forum of Mathematics, Sigma, Tome 10 (2022)
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We prove Farber’s conjecture on the stable topological complexity of configuration spaces of graphs. The conjecture follows from a general lower bound derived from recent insights into the topological complexity of aspherical spaces. Our arguments apply equally to higher topological complexity.
@article{10_1017_fms_2022_83,
author = {Ben Knudsen},
title = {The topological complexity of pure graph braid groups is stably maximal},
journal = {Forum of Mathematics, Sigma},
publisher = {mathdoc},
volume = {10},
year = {2022},
doi = {10.1017/fms.2022.83},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2022.83/}
}
Ben Knudsen. The topological complexity of pure graph braid groups is stably maximal. Forum of Mathematics, Sigma, Tome 10 (2022). doi: 10.1017/fms.2022.83
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