Abstract

We prove, under certain conditions, that if a solenoidal group (i.e. 1-dimensional compact connected abelian group) acts effectively on a compact space then the fixed point set is nonempty and H_G^*(X,Q) has a presentation similar to the presentation of H^*(X,Q) as proven by Chang in the case of a circle group.

DOI

10.3906/mat-1310-6

Keywords

TNHZ, solenoid, c -symplectic, algebra presentation

First Page

1081

Last Page

1089

Recommended Citation

ÖZKURT, A. A (2014). On the equivariant cohomology algebra for solenoidal actions. Turkish Journal of Mathematics 38 (6): 1081-1089. https://doi.org/10.3906/mat-1310-6

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