English

Lagrangian embedding, Maslov indexes and Integer graded symplectic Floer cohomology

dg-ga 2008-02-03 v2 Differential Geometry

Abstract

We define an integer graded symplectic Floer cohomology and a spectral sequence which are new invariants for monotone Lagrangian sub-manifolds and exact isotopies. Such an integer graded Floer cohomology is an integral lifting of the usual Floer-Oh cohomology with Z\Si(L)Z_{\Si (L)} grading. As one of applications of the spectral sequence, we offer an affirmative answer to an Audin's question for oriented, embedded, monotone Lagrangian tori, i.e. \Si(L)=2\Si (L) = 2.

Keywords

Cite

@article{arxiv.dg-ga/9602009,
  title  = {Lagrangian embedding, Maslov indexes and Integer graded symplectic Floer cohomology},
  author = {Weiping Li},
  journal= {arXiv preprint arXiv:dg-ga/9602009},
  year   = {2008}
}

Comments

24 pages, amslatex