Norm minima in certain Siegel leaves

Li Cai

doi:10.2140/agt.2015.15.445

Norm minima in certain Siegel leaves

Li Cai^*

^*Corresponding author for this work

Kyushu University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	445-466
Number of pages	22
Journal	Algebraic and Geometric Topology
Volume	15
Issue number	1
DOIs	https://doi.org/10.2140/agt.2015.15.445
Publication status	Published - 23 Mar 2015
Externally published	Yes

Keywords

Foliation
Moment-angle manifold
Simplicial complex

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10.2140/agt.2015.15.445

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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.",

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AU - Cai, Li

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N2 - 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.

AB - 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.

KW - Foliation

KW - Moment-angle manifold

KW - Simplicial complex

UR - https://www.scopus.com/pages/publications/84961360127

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DO - 10.2140/agt.2015.15.445

M3 - Article

AN - SCOPUS:84961360127

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VL - 15

SP - 445

EP - 466

JO - Algebraic and Geometric Topology

JF - Algebraic and Geometric Topology

IS - 1

ER -

Norm minima in certain Siegel leaves

Abstract

Keywords

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