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The Australasian Journal of Combinatorics
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On an explicit correspondence between nbc-basis, chambers and minimal complex for real supersolvable arrangements

descriptionPublicationkeyboard_double_arrow_right Article English Journal:On an explicit correspondence between nbc-basis, chambers and minimal complex for real supersolvable arrangements, volume 75, pages 223-245 (issn: 2202-3518, Copyright policy )

handle: https://hdl.handle.net/2115/76609

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

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.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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