Tangling and Braiding the Chessboard Complex

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dc.creatorBux, Kai-Uwe
dc.date2003-10-27
dc.date.accessioned2026-07-07T05:02:16Z
dc.date.available2026-07-07T05:02:16Z
dc.descriptionWe describe a series of complexes that relate to the braid groups as the matching complexes relate to the symmetric groups. A modified construction applies as well to other complexes based on edge sets in graphs. We show that our constructions will yield Cohen-Macauley complexes provided the underlying complexes are Cohen-Macauley. Finally, we discuss a related series of complexes to provide some positive evidence that the braided Houghton groups, introduced by F. Degenhardt, are a series of groups with linearly increasing finiteness length as are the (unbraided) Houghton groups.
dc.description19 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0310420
dc.identifierhttp://arxiv.org/abs/math/0310420
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68992
dc.subjectGeometric Topology
dc.subjectCombinatorics
dc.subject20F65
dc.titleTangling and Braiding the Chessboard Complex
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