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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