Geodesic
On Symmetric Group S 3 Actions on Spin 4-manifolds
Acta mathematica Universitatis Comenianae, Tome 76 (2007) no. 2 
Ximin Liu; Hongxia Li. On Symmetric Group S 3 Actions on Spin 4-manifolds. Acta mathematica Universitatis Comenianae, Tome 76 (2007) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2007_76_2_a13/
@article{AMUC_2007_76_2_a13,
     author = {Ximin Liu and Hongxia Li},
     title = {On {Symmetric} {Group} {S} 3 {Actions} on {Spin} 4-manifolds},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2007},
     volume = {76},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2007_76_2_a13/}
}
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Voir la notice de l'article provenant de la source Comenius University

Let X be a smooth, closed, connected spin 4-manifold with b 1 ( X ) = 0 and non-positive signature s ( X ). In this paper we use Seiberg-Witten theory to prove that if X admits an odd type symmetric group S 3 action preserving the spin structure, then b 2 + ( X ) 3 | s ( X )|/8 +3 under some non-degeneracy conditions. We also obtain some information about Ind ~S3 D , where ~ S 3 is the extension of S 3 by Z 2 .