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2007 The homotopy Lie algebra of the complements of subspace arrangements with geometric lattices
Gery Debongnie
Algebr. Geom. Topol. 7(4): 2007-2020 (2007). DOI: 10.2140/agt.2007.7.2007

Abstract

A subspace arrangement in l is a finite set A of subspaces of l. The complement space M(A) is lxAx. If M(A) is elliptic, then the homotopy Lie algebra π(ΩM(A)) is finitely generated. In this paper, we prove that if A is a geometric arrangement such that M(A) is a hyperbolic 1–connected space, then there exists an injective map L(u,v)π(ΩM(A)) where L(u,v) denotes a free Lie algebra on two generators.

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Gery Debongnie. "The homotopy Lie algebra of the complements of subspace arrangements with geometric lattices." Algebr. Geom. Topol. 7 (4) 2007 - 2020, 2007. https://doi.org/10.2140/agt.2007.7.2007

Information

Received: 10 May 2007; Revised: 9 October 2007; Accepted: 25 October 2007; Published: 2007
First available in Project Euclid: 20 December 2017

zbMATH: 1144.55013
MathSciNet: MR2366186
Digital Object Identifier: 10.2140/agt.2007.7.2007

Subjects:
Primary: 55P62

Rights: Copyright © 2007 Mathematical Sciences Publishers

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