Norm minima in certain Siegel leaves

Cai, Li

doi:10.2140/agt.2015.15.445

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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

Volume 15, issue 1 (2015)