Reidemeister Torsion in Floer--Novikov Theory and Counting pseudo-holomorphic tori, II

@article{Lee2001ReidemeisterTI,
  title={Reidemeister Torsion in Floer--Novikov Theory and Counting pseudo-holomorphic tori, II},
  author={Yi-Jen Lee},
  journal={Journal of Symplectic Geometry},
  year={2001},
  volume={3},
  pages={385-480}
}
  • Yi-Jen Lee
  • Published 30 November 2001
  • Mathematics
  • Journal of Symplectic Geometry
This is the first part of an article in two parts, which builds the foundation of a Floer-theoretic invariant, (I_F). (See math.DG/0505013 for part II). The Floer homology can be trivial in many variants of the Floer theory; it is therefore interesting to consider more refined invariants of the Floer complex. We consider one such instance--the Reidemeister torsion (\tau_F) of the Floer-Novikov complex of (possibly non-hamiltonian) symplectomorphisms. (\tau_F) turns out NOT to be invariant… 

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