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2007.171: The homotopy type of the complement coordinate subspace arrangement

2007.171: Jelena Grbić and Stephen Theriault (2007) The homotopy type of the complement coordinate subspace arrangement. Topology, 46 (4). pp. 377-400. ISSN 0040-9383

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DOI: 10.1016/j.top.2007.02.006

Abstract

The homotopy type of the complement of a complex coordinate subspace arrangement is studied by utilising some connections between its topological and combinatorial structures. A family of arrangements for which the complement is homotopy equivalent to a wedge of spheres is described. One consequence is an application in commutative algebra: certain local rings are proved to be Golod, that is, all Massey products in their homology vanish.

Item Type:Article
Uncontrolled Keywords:Coordinate subspace arrangements; Homotopy type; Golod rings; Toric topology; Cube lemma
Subjects:MSC 2000 > 13 Commutative rings and algebras
MSC 2000 > 52 Convex and discrete geometry
MSC 2000 > 55 Algebraic topology
MIMS number:2007.171
Deposited By:Mrs Louise Healey
Deposited On:19 November 2007

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