Algebraic & Geometric Topology

Norm minima in certain Siegel leaves

Li Cai

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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.

Article information

Algebr. Geom. Topol., Volume 15, Number 1 (2015), 445-466.

Received: 11 April 2014
Revised: 3 July 2014
Accepted: 21 July 2014
First available in Project Euclid: 16 November 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57R30: Foliations; geometric theory
Secondary: 57R70: Critical points and critical submanifolds 05E45: Combinatorial aspects of simplicial complexes

foliation moment-angle manifold simplicial complex


Cai, Li. Norm minima in certain Siegel leaves. Algebr. Geom. Topol. 15 (2015), no. 1, 445--466. doi:10.2140/agt.2015.15.445.

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