The homotopy type of the complement of a coordinate subspace arrangement
Algebraic Topology
2007-05-23 v1 Commutative Algebra
Combinatorics
Abstract
The homotopy type of the complement of a complex coordinate subspace arrangement is studied by fathoming out the connection 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.
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Cite
@article{arxiv.math/0601279,
title = {The homotopy type of the complement of a coordinate subspace arrangement},
author = {Jelena Grbic and Stephen Theriault},
journal= {arXiv preprint arXiv:math/0601279},
year = {2007}
}
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42 pages