Shellable Complexes and Topology of Diagonal Arrangements
نویسنده
چکیده
We prove that if a simplicial complex ∆ is shellable, then the intersection lattice L∆ for the corresponding diagonal arrangement A∆ is homotopy equivalent to a wedge of spheres. Furthermore, we describe precisely the spheres in the wedge, based on the data of shelling. Also, we give some examples of diagonal arrangements A where the complement MA is K(π, 1), coming from rank 3 matroids.
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ورودعنوان ژورنال:
- Discrete & Computational Geometry
دوره 40 شماره
صفحات -
تاریخ انتشار 2008