Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904176 | Topology and its Applications | 2018 | 11 Pages |
Abstract
By using the notion of polyhedral products (X_,A_)K, we recognise the Bestvina-Brady construction [4] as the fundamental group of the homotopy fibre of (S1,â)LâS1, where L is a flag complex. We generalise their construction by studying the homotopy fibre F of (S1,â)Lâ(S1,â)K for an arbitrary simplicial complex L and K an (mâ1)-dimensional simplex. For a particular class of simplicial complexes L, we describe the homology of F, its fixed points, and maximal invariant quotients for coordinate subgroups of Zm. This generalises the work of Leary and SaadetoÄlu [13] who studied the case when m=1.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Jelena GrbiÄ, Michele Intermont, Isabelle Laude, Elizabeth Vidaurre,