nLab circle action

Idea

An action by the circle group.

Related concepts

• free loop space, Sullivan model of free loop spaces

• group action on n-spheres

References

Models in rational homotopy theory

Discussion of models in rational homotopy theory includes:

• Agusti Roig, Martintxo Saralegi-Aranguren, Minimal Models for Non-Free Circle Actions (arXiv:math/0004141)

• Martin Raussen, Circle Actions on Rational Homology Manifolds and deformations of rational homotopy theory, Transactions of the American Mathematical Society Vol. 347, No. 1 (Jan., 1995), pp. 137-153 (jstor)

See also

• G. Hector and Martintxo Saralegi-Aranguren, Intersection homology of $S^1$-actions, Trans. Amer. Math. Soc. 338 (1993), 263-288 (doi:10.1090/S0002-9947-1993-1116314-7pdf)

• G. Padilla, Intersection Cohomology of $S^1$-Actions on Pseudomanifolds, Indag. Math., New Ser. 15, No. 3, 383-412 (2004).