Translator Disclaimer
2018 The fundamental group of locally standard $T$–manifolds
Haozhi Zeng
Algebr. Geom. Topol. 18(5): 3031-3035 (2018). DOI: 10.2140/agt.2018.18.3031

Abstract

We calculate the fundamental group of locally standard T –manifolds under the assumption that the principal T –bundle obtained from the free T –orbits is trivial. This family of manifolds contains nonsingular toric varieties which may be noncompact, quasitoric manifolds and toric origami manifolds with coörientable folding hypersurface. Although the fundamental groups of the above three kinds of manifolds are well-studied, we give a uniform and simple method to generalize the formulas of their fundamental groups.

Citation

Download Citation

Haozhi Zeng. "The fundamental group of locally standard $T$–manifolds." Algebr. Geom. Topol. 18 (5) 3031 - 3035, 2018. https://doi.org/10.2140/agt.2018.18.3031

Information

Received: 27 September 2017; Revised: 15 February 2018; Accepted: 29 April 2018; Published: 2018
First available in Project Euclid: 30 August 2018

zbMATH: 06935828
MathSciNet: MR3848407
Digital Object Identifier: 10.2140/agt.2018.18.3031

Subjects:
Primary: 14F35, 57S25
Secondary: 57R19

Rights: Copyright © 2018 Mathematical Sciences Publishers

JOURNAL ARTICLE
5 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.18 • No. 5 • 2018
MSP
Back to Top