Abstract
Using relevant properties of the Seiberg-Witten monopole invariants, a non-existence theorem of metrics of positive scalar curvature on certain series of Brieskorn 3-manifolds is proved. This gives a short proof without the help of Gromov-Lawson's theorem.
Information
Published: 1 January 2002
First available in Project Euclid: 31 December 2018
zbMATH: 1028.57030
MathSciNet: MR1925742
Digital Object Identifier: 10.2969/aspm/03410231
Subjects:
Primary:
57R57
Secondary:
32Q05
,
32S25
,
57R17
Rights: Copyright © 2002 Mathematical Society of Japan
