Springer TDMBourgeois, FrédéricMohnke, Klaus2025-06-202025-06-202004-03-190025-58741432-182310.1007/s00209-004-0656-x10.48550/arxiv.math/0102095https://trapdev.rcub.bg.ac.rs/handle/123456789/1354234We 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.OPENsymplectique et de poissonGéométrie riemannienne[MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG][MATH.MATH-SG] Mathematics [math]/Symplectic Geometry [math.SG]Mathematics - Symplectic GeometryTopologie algébriqueFOS: MathematicsSymplectic Geometry (math.SG)Géométries différentielle et infinitésimaletopologie différentielleintégraleCoherent orientations in symplectic field theorypublication01 natural sciences0101 mathematicsdoi_dedup___:fe33cce969b3356c1727c102964e60dbhttp://arxiv.org/abs/math/01020952013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/127764