Let $\Phi \colon \sbat \times M \to M$ be a smooth action of the unit circle $ \sbat$ on a manifold $M$. In this work, we compute the minimal model of $M$ in terms of the orbit space $B$ and the fixed point set $F\subset B$, as a dg-module over the Sullivan's minimal model of $B$.
Publié le : 2000-07-05
Classification:
Action du cercle,
Modèles minimaux,
57S15; 55P62,
[MATH.MATH-AT]Mathematics [math]/Algebraic Topology [math.AT],
[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]
@article{hal-00371701,
author = {Roig, Agusti and Saralegi-Aranguren, Martintxo},
title = {Minimal Models for Non-Free Circle Actions},
journal = {HAL},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00371701}
}
Roig, Agusti; Saralegi-Aranguren, Martintxo. Minimal Models for Non-Free Circle Actions. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00371701/