Virtual Morse theory on ΩHam(M, ϖ)
Savelyev, Yakov
J. Differential Geom., Tome 84 (2010) no. 1, p. 409-425 / Harvested from Project Euclid
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We relate previously defined quantum characteristic classes to Morse theoretic aspects of the Hofer length functional on Ham (M, ω). As an application we prove a theorem which can be interpreted as stating that this functional is “virtually” a perfect Morse-Bott functional. This can be applied to study the topology and Hofer geometry of Ham(M, ω). We also use this to give a prediction for the index of some geodesics for this functional, which was recently partially verified by Yael Karshon and Jennifer Slimowitz.
Publié le : 2010-02-15
Classification:  
@article{1274707319,
     author = {Savelyev, Yakov},
     title = {Virtual Morse theory on OHam(M, p)},
     journal = {J. Differential Geom.},
     volume = {84},
     number = {1},
     year = {2010},
     pages = { 409-425},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1274707319}
}

Savelyev, Yakov. Virtual Morse theory on ΩHam(M, ϖ). J. Differential Geom., Tome 84 (2010) no. 1, pp.  409-425. http://gdmltest.u-ga.fr/item/1274707319/