Volume 15, issue 1 (2015)
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Norm minima in certain Siegel leaves

Li Cai
Algebraic & Geometric Topology 15 (2015) 445–466
DOI: 10.2140/agt.2015.15.445
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.

Keywords
foliation, moment-angle manifold, simplicial complex
Mathematical Subject Classification 2010
Primary: 57R30
Secondary: 57R70, 05E45
References
Publication
Received: 11 April 2014
Revised: 3 July 2014
Accepted: 21 July 2014
Published: 23 March 2015
Authors
Li Cai
Institute of Mathematics for Industry
Kyushu University
744 Motooka, Nishiku
Fukuoka 819-0395
Japan