Rational homotopy of circle actions

Authors
Citation
V. Hauschild, Rational homotopy of circle actions, PAC J MATH, 191(2), 1999, pp. 275-311
Citations number
16
Categorie Soggetti
Mathematics
Journal title
PACIFIC JOURNAL OF MATHEMATICS
ISSN journal
00308730 → ACNP
Volume
191
Issue
2
Year of publication
1999
Pages
275 - 311
Database
ISI
SICI code
0030-8730(199912)191:2<275:RHOCA>2.0.ZU;2-H
Abstract
We classify circle actions on F-spaces X with H-od (X; Q) = 0 up to equivar iant rational homotopy equivalence by the concept of g-points in the spectr um of the cohomology ring of Baut(0)(X): In the case of circle actions on c losed oriented manifolds X with the rational cohomology of ag varieties K/T this gives a generalization of the rational homotopy classification of lin ear (or homomorphic) circle actions to nonlinear S-1-actions.