Open Access
2015 Norm minima in certain Siegel leaves
Li Cai
Algebr. Geom. Topol. 15(1): 445-466 (2015). 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.

Citation

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Li Cai. "Norm minima in certain Siegel leaves." Algebr. Geom. Topol. 15 (1) 445 - 466, 2015. https://doi.org/10.2140/agt.2015.15.445

Information

Received: 11 April 2014; Revised: 3 July 2014; Accepted: 21 July 2014; Published: 2015
First available in Project Euclid: 16 November 2017

zbMATH: 1330.57042
MathSciNet: MR3325744
Digital Object Identifier: 10.2140/agt.2015.15.445

Subjects:
Primary: 57R30
Secondary: 05E45 , 57R70

Keywords: Foliation , moment-angle manifold , simplicial complex

Rights: Copyright © 2015 Mathematical Sciences Publishers

Vol.15 • No. 1 • 2015
MSP
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