Rational $S^1$-equivariant homotopy theory

Laura Scull
2001 Transactions of the American Mathematical Society  
We give an algebraicization of rational S 1 -equivariant homotopy theory. There is an algebraic category of "T-systems" which is equivalent to the homotopy category of rational S 1 -simply connected S 1 -spaces. There is also a theory of "minimal models" for T-systems, analogous to Sullivan's minimal algebras. Each S 1 -space has an associated minimal T-system which encodes all of its rational homotopy information, including its rational equivariant cohomology and Postnikov decomposition.
doi:10.1090/s0002-9947-01-02790-8 fatcat:k2k72fprlbdxpdrsmbpc6czr44