Morse Theory , Floer Theory and Closed Geodesics of S
نویسنده
چکیده
We construct Bott-type Floer homology groups for the sym-plectic manifold (T S 1 ; can) and Bott-type Morse homology groups for the energy functional on the loop space of S 1. Both objects turn out to be isomorpic to the singular homology of the loop space of S 1. So far our objects depend on all choices involved, but the above isomorphism suggests further investigation to show independence of these choices as well as a generalization to any closed riemannian manifold.
منابع مشابه
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