Vol. 256, No. 2, 2012

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 332: 1  2
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Small covers and the Halperin–Carlsson conjecture

Li Yu

Vol. 256 (2012), No. 2, 489–507
Abstract

We prove that the Halperin–Carlsson conjecture holds for any free (2)m-action on a compact manifold whose orbit space is a small cover.

Keywords
free torus action, Halperin–Carlsson conjecture, small cover, moment-angle manifold, glue-back construction
Mathematical Subject Classification 2010
Primary: 57R22, 57R91, 57S17, 57S25
Milestones
Received: 1 March 2011
Revised: 15 November 2011
Accepted: 21 November 2011
Published: 30 May 2012
Authors
Li Yu
Department of Mathematics and IMS
Nanjing University
Nanjing, 210093
China