Existence of perfect Morse functions of spaces with semi-free circle action
J. Symplectic Geom., Tome 1 (2002) no. 2, p. 829-850 / Harvested from Project Euclid
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Let M be a compact oriented simply-connected manifold of dimension at least 8. Assume M is equipped with a torsion-free semi-free circle action with isolated fixed points. We prove M has a perfect invariant Morse-Smale function. The major ingredient in the proof is a new cancellation theorem for invariant Morse theory.
Publié le : 2002-12-14
Classification:  
@article{1092749570,
     author = {Kogan
, Mikhail},
     title = {Existence of perfect Morse functions of spaces
with semi-free circle action},
     journal = {J. Symplectic Geom.},
     volume = {1},
     number = {2},
     year = {2002},
     pages = { 829-850},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1092749570}
}

Kogan
, Mikhail. Existence of perfect Morse functions of spaces
with semi-free circle action. J. Symplectic Geom., Tome 1 (2002) no. 2, pp.  829-850. http://gdmltest.u-ga.fr/item/1092749570/