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Norm minima in certain Siegel leaves

Geometric Topology 2015-11-03 v4

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.

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Cite

@article{arxiv.1404.1575,
  title  = {Norm minima in certain Siegel leaves},
  author = {Li Cai},
  journal= {arXiv preprint arXiv:1404.1575},
  year   = {2015}
}

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21 pages