The homotopy type of the complement coordinate subspace arrangement

By J. Grbić, S. Theriault. 2006

103 citations recorded by the source corpus.

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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4382b45637a2c23ce827d929c93dc85a12aff41b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. T. Panov
2. V. Buchstaber
3. S. Theriault
4. J. Grbić
5. Jie Wu
6. M. Masuda
7. S. Gitler
8. Nigel Ray

In Geometry and Topology

1. T. Panov
2. V. Buchstaber
3. S. Theriault
4. J. Grbić
5. Jie Wu
6. M. Masuda
7. Nigel Ray
8. D. Suh

In Mathematical Physics

1. T. Panov
2. V. Buchstaber
3. S. Theriault
4. J. Grbić
5. Jie Wu
6. M. Franz
7. Frederick R. Cohen
8. M. Masuda

Citations in the corpus

• THE HOMOTOPY TYPE OF THE POLYHEDRAL PRODUCT FOR SHIFTED COMPLEXES (2011, methodology): “An added benefit is that these new methods also give a much faster proof of the results in [9].”
• Toric Topology (2012, methodology): “[159] Jelena Grbić and Stephen Theriault.”
• The homotopy types of moment-angle complexes for flag complexes (2012, background): “In [16] several classes of complexes K have been identified for which ZK has homotopy type of a wedge of spheres.”