Algebraic & Geometric Topology

Norm minima in certain Siegel leaves

Li Cai

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.

Article information

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

Dates
Revised: 3 July 2014
Accepted: 21 July 2014
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.agt/1510840919

Digital Object Identifier
doi:10.2140/agt.2015.15.445

Mathematical Reviews number (MathSciNet)
MR3325744

Zentralblatt MATH identifier
1330.57042

Citation

Cai, Li. Norm minima in certain Siegel leaves. Algebr. Geom. Topol. 15 (2015), no. 1, 445--466. doi:10.2140/agt.2015.15.445. https://projecteuclid.org/euclid.agt/1510840919

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