On the equivariant cohomology algebra for solenoidal actions

Authors : Ali Arslan ÖZKURT

Pages : 1081-1089

Doi:10.3906/mat-1310-6

View : 12 | Download : 8

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :We prove, under certain conditions, that if a solenoidal group insert ignore into journalissuearticles values(i.e. 1-dimensional compact connected abelian group); acts effectively on a compact space then the fixed point set is nonempty and HG*insert ignore into journalissuearticles values(X,Q); has a presentation similar to the presentation of H*insert ignore into journalissuearticles values(X,Q); as proven by Chang in the case of a circle group.
Keywords : TNHZ, solenoid, c symplectic, algebra presentation