Abstract
In this paper we shall illustrate that each polytopal moment-angle complex can be understood as the intersection of the minima of corresponding Siegel leaves and the unit sphere, with respect to the maximum norm. Consequently, an alternative proof of a rigidity theorem of Bosio and Meersseman is obtained; as piecewise linear manifolds, polytopal real moment-angle complexes can be smoothed in a natural way.
| Original language | English |
|---|---|
| Pages (from-to) | 445-466 |
| Number of pages | 22 |
| Journal | Algebraic and Geometric Topology |
| Volume | 15 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 23 Mar 2015 |
| Externally published | Yes |
Keywords
- Foliation
- Moment-angle manifold
- Simplicial complex