Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

Request Permissions   Purchase Content 
 

 

A counterexample to a conjecture about positive scalar curvature


Authors: Daniel Pape and Thomas Schick
Journal: Proc. Amer. Math. Soc. 143 (2015), 3165-3168
MSC (2010): Primary 57R65
DOI: https://doi.org/10.1090/S0002-9939-2015-12330-1
Published electronically: March 18, 2015
MathSciNet review: 3336640
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In his article in Proc. Amer. Math. Soc. 138 (2010), no. 5, 1621-1632, S. Chang conjectures that a closed smooth manifold $ M$ with non-spin universal covering admits a metric of positive scalar curvature if and only if a certain homological condition is satisfied. We present a counterexample to this conjecture, based on the counterexample to the unstable Gromov-Lawson-Rosenberg conjecture given in the second author's article in Topology 37 (1998), no. 6, 1165-1168.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 57R65

Retrieve articles in all journals with MSC (2010): 57R65


Additional Information

Daniel Pape
Affiliation: Georg-August-Universität Göttingen, Bunsenstraße 3, 37073 Göttingen, Germany
Email: pape@uni-math.gwdg.de

Thomas Schick
Affiliation: Georg-August-Universität Göttingen, Bunsenstraße 3, 37073 Göttingen, Germany
Email: schick@uni-math.gwdg.de

DOI: https://doi.org/10.1090/S0002-9939-2015-12330-1
Received by editor(s): August 9, 2013
Received by editor(s) in revised form: June 14, 2013
Published electronically: March 18, 2015
Additional Notes: The first author was supported by the German Research Foundation (DFG) through the Research Training Group 1493 “Mathematical structures in modern quantum physics”
The second author was partially funded by the Courant Research Center “Higher order structures in Mathematics” within the German initiative of excellence
Communicated by: Daniel Ruberman
Article copyright: © Copyright 2015 American Mathematical Society