Volume 15, issue 1 (2015)
Download this article
Download this article For screen
For printing
Recent Issues

Volume 25, 1 issue

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
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