Coherent Orientations in Symplectic Field Theory
Bourgeois, Frédéric ; Mohnke, Klaus
HAL, hal-01011007 / Harvested from HAL
Text on HAL
We study the coherent orientations of the moduli spaces of holomorphic curves in Symplectic Field Theory, generalizing a construction due to Floer and Hofer. In particular we examine their behavior at multiple closed Reeb orbits under change of the asymptotic direction. The orientations are determined by a certain choice of orientation at each closed Reeb orbit, that is similar to the orientation of the unstable tangent spaces of critical points in finite--dimensional Morse theory.
Publié le : 2004-09-01
Classification:  [MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG] 
@article{hal-01011007,
     author = {Bourgeois, Fr\'ed\'eric and Mohnke, Klaus},
     title = {Coherent Orientations in Symplectic Field Theory},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01011007}
}

Bourgeois, Frédéric; Mohnke, Klaus. Coherent Orientations in Symplectic Field Theory. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-01011007/