Debongnie, Gery
[UCL]
A subspace arrangement in C-l is a finite set A of subspaces of C-l. The complement space M(A) is C-l U-x is an element of AX. If M(A) is elliptic, then the homotopy Lie algebra pi(star)(Omega M(A))circle times Q 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) -> pi(Omega M(A)) circle times Q where L(u, v) denotes a free Lie algebra on two generators.
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| Bibliographic reference |
Debongnie, Gery. The homotopy Lie algebra of the complements of subspace arrangements with geometric lattices. In: Algebraic And Geometric Topology, Vol. 7, p. 2007-2020 (2007) |
| Permanent URL |
http://hdl.handle.net/2078.1/36727 |
