# nLab equivariant rational homotopy theory

Contents

### Context

#### Representation theory

representation theory

geometric representation theory

## Theorems

#### Rational homotopy theory

differential graded objects

and

rational homotopy theory

# Contents

## Idea

The equivariant version of rational homotopy theory.

## References

The original reference for finite groups is

• Georgia Triantafillou, Equivariant rational homotopy theory, chapter III of Peter May, Equivariant homotopy and cohomology theory CBMS Regional Conference Series in Mathematics, vol. 91, Published for the Conference Board of the Mathematical Sciences, Washington, DC, 1996. With contributions by M. Cole, G. Comeza˜na, S. Costenoble, A. D. Elmendorf, J. P. C. Greenlees, L. G. Lewis, Jr., R. J. Piacenza, G. Triantafillou, and S. Waner. (pdf)

• Georgia Triantafillou, Equivariant minimal models, Trans. Amer. Math. Soc. vol 274 pp 509-532 (1982) (jstor)

but beware that Scull 01 claims that the statement about minimal models there is not correct. Corrrected statements for finite groups as well as generalization to compact Lie groups, at least to the circle group, is due to

• Laura Scull, Rational $S^1$-equivariant homotopy theory, Transactions of the AMS, Volume 354, Number 1, Pages 1-45 2001 (pdf)

See also

• C. Allday, V. Puppe, sections 3.3 and 3.4 of Cohomological methods in transformation groups, Cambridge 1993 (doi:10.1017/CBO9780511526275)

Last revised on February 6, 2019 at 05:11:25. See the history of this page for a list of all contributions to it.