On the equivariant cohomology algebra for solenoidal actions | Zendy

Ali Özkurt | Zendy

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On the equivariant cohomology algebra for solenoidal actions

Author(s) -

Ali Özkurt

Publication year - 2014

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1310-6

Subject(s) - mathematics , solenoidal vector field , cohomology , abelian group , equivariant cohomology , equivariant map , compact group , group (periodic table) , pure mathematics , space (punctuation) , fixed point , algebra over a field , lie group , mathematical analysis , geometry , vector field , physics , linguistics , philosophy , quantum mechanics

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 HG*(X,Q) has a presentation similar to the presentation of H*(X,Q) as proven by Chang in the case of a circle group.

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