Coherent Orientations in Symplectic Field Theory

@inproceedings{Bourgeois2008CoherentOI,
  title={Coherent Orientations in Symplectic Field Theory},
  author={Fr{\'e}d{\'e}ric Bourgeois and KLAUS MOHNKE},
  year={2008}
}
We study the coherent orientations of the moduli spaces of ‘trajectories’ in Symplectic Field Theory, following the lines of [3]. In particular we examine their behavior at multiple closed Reeb orbits under change of the asymptotic direction. Analogous to the orientation of the unstable tangent spaces of critical points in finite–dimensional Morse theory, the orientations are determined by a certain choice of orientation at each closed Reeb orbit. 
Highly Cited
This paper has 28 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.
23 Citations
16 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 16 references

Coherent orientations for periodic orbit problems in symplectic geometry

  • Andreas Floer, Helmut Hofer
  • Math.Zeitschr.,
  • 1993
Highly Influential
9 Excerpts

Contact homology and contact structures on S, thesis

  • Ilya Ustilovsky
  • Technical report, Stanford University,
  • 1999

Contact homology of coverings

  • Klaus Mohnke
  • Technical report, Stanford University,
  • 1999
1 Excerpt

Infinitely many contact structures on S 4 m + 1

  • Ilya Ustilovsky
  • Int . Math . Res . Notices
  • 1999

Pseudoholomorphic curves in symplectizations III : Fredholm theory

  • K. Wysocki, E. Zehnder
  • Topics in nonlinear analysis , Progr . Nonlinear…
  • 1999

Pseudoholomorphic curves in symplectizations III: Fredholm theory. In Topics in nonlinear analysis, Progr. Nonlinear Differential Equations Appl.,35

  • H. Hofer, K. Wysocki, E. Zehnder
  • 1999
1 Excerpt

Floer homology and Arnold conjecture

  • Gang Liu, Gang Tian
  • J. Diff. Geom.,
  • 1998
1 Excerpt

Invariants in contact topology

  • Yakov Eliashberg
  • Doc. Math. J. DMV, Extra Volume ICM 1998,
  • 1998
1 Excerpt

Similar Papers

Loading similar papers…