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arXiv · dg-ga/9602009

Lagrangian embedding, Maslov indexes and Integer graded symplectic Floer cohomology

Weiping Li
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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 $Z_{\Si (L)}$ 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. $\Si (L) = 2$.

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Weiping Li. 1996-02-22. Lagrangian embedding, Maslov indexes and Integer graded symplectic Floer cohomology. https://arxiv.org/abs/dg-ga/9602009

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