On an explicit correspondence between nbc-basis, chambers and minimal complex for real supersolvable arrangements


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Title:	On an explicit correspondence between nbc-basis, chambers and minimal complex for real supersolvable arrangements
Authors:	Settepanella, Simona Browse this author
Authors:	Torielli, Michele Browse this author
Issue Date:	28-Jan-2020
Publisher:	Centre discrete mathematics and computing
Journal Title:	Australasian journal of combinatorics
Volume:	75
Start Page:	223
End Page:	245
Abstract:	In this paper we give a very natural description of the bijections between the set of cells in the minimal CW-complex homotopy equivalent to the complement of a complexified real supersolvable arrangement A, the nbc-basis of the Orlik-Solomon algebra associated to A and the set of chambers of A. We use these bijections to describe a bijection between the symmetric group and the nbc-basis of the braid arrangement.
Rights:	https://creativecommons.org/licenses/by/4.0/
Publisher URI:	https://ajc.maths.uq.edu.au/pdf/75/ajc_v75_p223.pdf
Type:	article
URI:	http://hdl.handle.net/2115/76609
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

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