On the classification of quasitoric manifolds over dual cyclic polytopes

Hasui, Sho

doi:10.2140/agt.2015.15.1387

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

On the classification of quasitoric manifolds over dual cyclic polytopes

Sho Hasui

Algebraic & Geometric Topology 15 (2015) 1387–1437

DOI: 10.2140/agt.2015.15.1387

Abstract

For a simple $n$ –polytope $P$ , a quasitoric manifold over $P$ is a $2 n$ –dimensional smooth manifold with a locally standard action of an $n$ –dimensional torus for which the orbit space is identified with $P$ . This paper acheives the topological classification of quasitoric manifolds over the dual cyclic polytope $C^{n} {(m)}^{*}$ when $n > 3$ or $m - n = 3$ . Additionally, we classify small covers, the “real version” of quasitoric manifolds, over all dual cyclic polytopes.

Keywords

toric topology, quasitoric manifolds, cohomological rigidity

Mathematical Subject Classification 2010

Primary: 57R19, 57S25

References

Publication

Received: 24 November 2013

Revised: 27 April 2014

Accepted: 6 June 2014

Published: 19 June 2015

Authors

Sho Hasui
Department of Mathematics, Faculty of Science Kyoto University Sakyo-ku Kyoto 606-8502 Japan

Volume 15, issue 3 (2015)