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On the Invariants of the Cohomology of Complements of Coxeter Arrangements

descriptionPublicationkeyboard_double_arrow_right Report 01 Jan 2018Embargo end date: 16 Oct 2024 English Publisher:Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach
Authors: Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard;

doi: 10.34657/15906

On the Invariants of the Cohomology of Complements of Coxeter Arrangements

Abstract

We refine Brieskorn's study of the cohomology of the complement of the reflection arrangement of a finite Coxeter group W. As a result we complete the verification of a conjecture by Felder and Veselov that gives an explicit basis of the space of W-invariants in this cohomology ring.

Keywords

Arrangements of hyperplanes, Hyperplane complements, Orlik-Solomon algebras, Coxeter groups, 510

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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.
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