The fundamental group of locally standard T–manifolds

Zeng, Haozhi

doi:10.2140/agt.2018.18.3031

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The fundamental group of locally standard $T$–manifolds

Haozhi Zeng

Algebraic & Geometric Topology 18 (2018) 3031–3035

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.

Keywords

fundamental group, torus manifolds

Mathematical Subject Classification 2010

Primary: 14F35, 57S25

Secondary: 57R19

References

Publication

Received: 27 September 2017

Revised: 15 February 2018

Accepted: 29 April 2018

Published: 22 August 2018

Authors

Haozhi Zeng
School of Mathematical Sciences Fudan University Shanghai China

Volume 18, issue 5 (2018)