The homotopy type of the complement of a coordinate subspace arrangement

Jelena Grbic, Jelena Grbić, Stephen Theriault

    Research output: Contribution to journalArticlepeer-review

    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. © 2007 Elsevier Ltd. All rights reserved.
    Original languageEnglish
    Pages (from-to)357-396
    Number of pages39
    JournalTopology
    Volume46
    Issue number4
    DOIs
    Publication statusPublished - Sept 2007

    Keywords

    • Coordinate subspace arrangements
    • Cube lemma
    • Golod rings
    • Homotopy type
    • Toric topology

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